Properties of the Number 75263

Seventy-Five Thousand Two Hundred Sixty-Three

Basics

Value: 75262 → 75263 → 75264

Parity: odd

Prime: No

Previous Prime: 75253

Next Prime: 75269

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 73 × 1031

Divisors: 1, 73, 1031, 75263

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010010111111111

Octal: 222777

Duodecimal: 3767B

Hexadecimal: 125ff

Square: 5664519169

Square Root: 274.3410286486511

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

Consider the Diophantine equation x³ + y³ = z³ - 1 (x < y < z) or 'Fermat near misses'. Arrange solutions by increasing values of z. Sequence gives values of x. A50788

G.f. A(x) satisfies A(x) = 1/((1 - x·A(x)³) * (1 - x·A(x))). A379189

a(n) = number of polynomials a_k*x^k + ... + a₁*x + a₀ with k > 0, integer coefficients, only distinct integer roots, and a₀ = pⁿ (p is a prime). A248348

Numerators of continued fraction convergents to sqrt(933). A42804

T(n,n-4), array T as in A038792. A38794

Triangle of coefficients of polynomials H(n,x) formed from the first (n+1) terms of the power series expansion of ( -x/log(1-x) )ⁿ⁺¹, multiplied by n!. A75263