Properties of the Number 53032

Fifty-Three Thousand Thirty-Two

Basics

Value: 53031 → 53032 → 53033

Parity: even

Prime: No

Previous Prime: 53017

Next Prime: 53047

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 7 × 947

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 947, 1894

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100111100101000

Octal: 147450

Duodecimal: 26834

Hexadecimal: cf28

Square: 2812393024

Square Root: 230.28677773593515

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+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250676

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250691

Number of (n+1)X(1+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250669

Number of (5+1)X(n+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250696

Indices of primes in sequence defined by A(0) = 71, A(n) = 10·A(n-1) + 21 for n > 0. A101137

Number of (5+1)X(n+1) 0..3 arrays with nondecreasing x(i,j)+x(i,j-1) in the i direction and nondecreasing absolute value of x(i,j)-x(i-1,j) in the j direction. A250681

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7. A252185

a(n) = A080301(A080263(n)). A80266

A triangular sequence: T(n,m) = t1(n,m) + t1(n,n-m) where t1(n,m) = -∑_j=0..m+1 (-1)^j * t0(n + 2, j) * (m - j + 1)^{n + 1} and t0(n,m) = ∑_j=0..m+1 (-1)^j * binomial(n + 2, j) * (m - j + 1)^{n + 1}. A154869

Odd primes p with one zero in Fibonacci numbers mod p. A53032