Properties of the Number 51024

Fifty-One Thousand Twenty-Four

Basics

Value: 51023 → 51024 → 51025

Parity: even

Prime: No

Previous Prime: 51001

Next Prime: 51031

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 1063

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100011101010000

Octal: 143520

Duodecimal: 25640

Hexadecimal: c750

Square: 2603448576

Square Root: 225.884926455928

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..3 arrays with every 3X3 subblock row and column sum equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 1 3 4 6 or 7. A252210

a(n) = T(n,n-6), array T as in A055818. A55823

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 1 3 4 6 or 7. A252203

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 1 3 4 6 or 7. A252207

Values of n for which pi_4,3(p_n) - pi_4,1(p_n) = -1, where p_n is the n-th prime and pi_m,a(x) is the number of primes <= x which are congruent to a (mod m). A51024

Number of (n+1) X 5 0..2 arrays with the number of clockwise edge increases in every 2 X 2 subblock equal to one, and every 2 X 2 determinant nonzero. A206006

Number of nX4 0..1 arrays with every element equal to 1, 3, 4, 5 or 8 king-move adjacent elements, with upper left element zero. A298830