Properties of the Number 51964

Fifty-One Thousand Nine Hundred Sixty-Four

Basics

Value: 51963 → 51964 → 51965

Parity: even

Prime: No

Previous Prime: 51949

Next Prime: 51971

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 11 × 1181

Divisors: 1, 2, 4, 11, 22, 44, 1181, 2362, 4724, 12991

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100101011111100

Octal: 145374

Duodecimal: 260A4

Hexadecimal: cafc

Square: 2700257296

Square Root: 227.9561361314935

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

Triangle T(n,k), n >= 2, 0 <= k <= floor(n²/2)-2, read by rows, where T(n,k) is the number of 2*(k+2)-cycles in the n X n grid graph which pass through NW corner (0,0). A333651

p-INVERT of (1,0,0,0,0,1,0,0,0,0,0,0,...), where p(S) = 1 - S². A292403

Expansion of (1/x) * Series_Reversion( x * ((1-x)³-x²) ). A369694

Number of nondecreasing arrangements of n+3 numbers in 0..4 with each number being the sum mod 5 of three others. A183899

Number of 6-step S, E, and NW-moving king's tours on an n X n board summed over all starting positions. A187511

Main diagonal of A332359. A332360

Number of partitions of n such that the m(number of distinct parts) is a part, where m = multiplicity. A240307

Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 23. A51964