Properties of the Number 65856

Sixty-Five Thousand Eight Hundred Fifty-Six

Basics

Value: 65855 → 65856 → 65857

Parity: even

Prime: No

Previous Prime: 65851

Next Prime: 65867

Digit Sum: 30

Digital Root: 3

Palindrome: Yes

Factorization: 2 ⁶ × 3 × 7 ³

Divisors: 1, 2, 3, 4, 6, 7, 8, 12, 14, 16

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000101000000

Octal: 200500

Duodecimal: 32140

Hexadecimal: 10140

Square: 4337012736

Square Root: 256.62423891752707

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

Palindromic in bases 10 and 27. A250411

a(n) = ∑_d∣n φ(d)*2^n/d. A53635

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having index change +-(.,.) 0,0 1,0 or 1,2. A264272

a(n) = 3·n³. A117642

Coefficients in q-expansion of (6·E₂²*E₄ - 8·E₂*E₆ + 3·E₄² - E₂⁴)/6912, where E₂, E₄, E₆ are the Eisenstein series shown in A006352, A004009, A013973, respectively. A282211

Numbers k such that k⁶ + 82991 is prime. A126893

Numbers containing only 1's and 0's in their base-2, base-3, and base-4 representations. A258981

Numbers k such that the square of d(k) (number of divisors) divides k. A46754

Least k such that there are exactly n ways to choose a set consisting of a different binary index of each binary index of k. A368184

Expansion of ∏_k>=1 ((1+x^k)/(1-x^k))^2·k-1. A261452