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Properties of the Number 55964

Fifty-Five Thousand Nine Hundred Sixty-Four

Basics

Value: 55963 → 55964 → 55965

Parity: even

Prime: No

Previous Prime: 55949

Next Prime: 55967

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 2 × 17 × 823

Divisors: 1, 2, 4, 17, 34, 68, 823, 1646, 3292, 13991

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1101101010011100

Octal: 155234

Duodecimal: 28478

Hexadecimal: da9c

Square: 3131969296

Square Root: 236.56711521257557

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

Dimension of 5-variable non-commutative harmonics (twisted derivative). The dimension of the space of non-commutative polynomials in 5 variables which are killed by all symmetric differential operators (where for a monomial w, dξ ( ξ w ) = w and dξ ( xj w ) = 0 for i/=j). A122369
Numbers n such that σ(n+1) = 2*σ(n-1). A67134
Number of ordered quadruples (i,j,k,l) in range [0..n] satisfying i == j (mod 2), j == k (mod 3) and k == l (mod 4). A115523
Number of nX3 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nX3 array. A219847
Numbers k such that the sum of the divisors of k is of the form m3 + 1. A289384
Numbers n such that the n-th prime equals the n-th Ramanujan prime of the totient of n. A267012
T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 nXk array. A219852
n + reversal of hexadecimal (base 16) digits of n (written in base 10). A55964