Properties of the Number 64976

Sixty-Four Thousand Nine Hundred Seventy-Six

Basics

Value: 64975 → 64976 → 64977

Parity: even

Prime: No

Previous Prime: 64969

Next Prime: 64997

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 31 × 131

Divisors: 1, 2, 4, 8, 16, 31, 62, 124, 131, 248

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111110111010000

Octal: 176720

Duodecimal: 31728

Hexadecimal: fdd0

Square: 4221880576

Square Root: 254.9039034616771

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

Relative of Hofstadter Q-sequence: a(n) = max(0, n+32478) for n <= 0; a(n) = a(n-a(n-1)) + a(n-a(n-2)) + a(n-a(n-3)) for n > 0. A274058

T(n,k)=Half the number of (n+1)X(k+1) 0..3 arrays with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one. A183976

Fourth row of the Pascal-(1,4,1) array A081579. A81588

15-gonal (or pentadecagonal) pyramidal numbers: a(n) = n*(n+1)*(13·n-10)/6. A177890

Number of (w,x,y,z) with all terms in {0,...,n} and |w-x|=max{w,x,y,z}-min{w,x,y,z}. A212755

Half the number of (n+1)X2 0..3 arrays with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one. A183972

Half the number of (n+1)X5 0..3 arrays with no 2X2 subblock sum differing from a horizontal or vertical neighbor subblock sum by more than one. A183975

a(n) = floor(2^n-1) - binomial(n,3) + binomial(n,2) - n + 1. A347017

n·10²-1, n·10²-3, n·10²-7 and n·10²-9 are all prime. A64976