Properties of the Number 62096

Sixty-Two Thousand Ninety-Six

Basics

Value: 62095 → 62096 → 62097

Parity: even

Prime: No

Previous Prime: 62081

Next Prime: 62099

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 3881

Divisors: 1, 2, 4, 8, 16, 3881, 7762, 15524, 31048, 62096

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111001010010000

Octal: 171220

Duodecimal: 2BB28

Hexadecimal: f290

Square: 3855913216

Square Root: 249.19069003476034

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the medians of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A258511

E.g.f. C(x,y) = 1 + Integral S(x,y)*C(y,x) dx such that C(x,y)² - S(x,y)² = 1 and C(y,x) = Integral S(y,x)*C(x,y) dy, where C(x,y) = ∑_n>=0 ∑_k=0..n T(n,k) * x^2·n-2·k*y^2·k/((2·n-2·k)!*(2·k)!), as a triangle of coefficients T(n,k) read by rows. A322221

E.g.f. C(y,x) = 1 + Integral S(y,x)*C(x,y) dy such that C(y,x)² - S(y,x)² = 1 and C(x,y) = Integral S(x,y)*C(y,x) dx, where C(y,x) = ∑_n>=0 ∑_k=0..n T(n,k) * x^2·n-2·k*y^2·k/((2·n-2·k)!*(2·k)!), as a triangle of coefficients T(n,k) read by rows. A322222

E.g.f. C(x,y) = 1 - Integral S(x,y)*C(y,x) dx such that C(x,y)² + S(x,y)² = 1 and S(y,x) = Integral C(y,x)*C(x,y) dy, as a triangle of coefficients T(n,k) read by rows. A367381

Number of (n+2)X(3+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the medians of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A258506

Number of (2+2)X(n+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the medians of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A258512

E.g.f. G(x,y) = Integral C(x,y)*S(y,x) dx such that C(x,y)² + S(x,y)² = 1 and S(y,x) = Integral C(x,y)*C(y,x) dy, as a triangle of coefficients T(n,k) read by rows. A367382

E.g.f. S(x,y) = Integral C(x,y)*C(y,x) dx such that C(x,y)² - S(x,y)² = 1 and C(y,x) = 1 + Integral S(y,x)*C(x,y) dy, where S(x,y) = ∑_n>=0 ∑_k=0..n T(n,k) * x^2·n+1-2·k*y^2·k/((2·n+1-2·k)!*(2·k)!), as a triangle of coefficients T(n,k) read by rows. A322220

E.g.f. S(x,y) = Integral C(x,y)*C(y,x) dx such that C(x,y)² + S(x,y)² = 1 and C(y,x) = 1 - Integral S(y,x)*C(x,y) dy, as a triangle of coefficients T(n,k) read by rows. A367380

a(1) = 2; for n > 1, a(n) is smallest number, greater than a(n-1), which is relatively prime to the sum of all previous terms. A62096