Properties of the Number 65016

Sixty-Five Thousand Sixteen

Basics

Value: 65015 → 65016 → 65017

Parity: even

Prime: No

Previous Prime: 65011

Next Prime: 65027

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ³ × 3 ³ × 7 × 43

Divisors: 1, 2, 3, 4, 6, 7, 8, 9, 12, 14

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111110111111000

Octal: 176770

Duodecimal: 31760

Hexadecimal: fdf8

Square: 4227080256

Square Root: 254.98235233050934

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

Constant term of the reduction of n-th Fibonacci polynomial by x² -> x+1. (See Comments.) A192232

Number of ways to write n as an ordered sum of 7 primes. A340963

Number of aperiodic binary arrays of size n. A323864

Triangle, read by rows, where the g.f. of row n equals ∏_k=0..n-1 (1 + k·y + y²) for n>0 with a single '1' in row 0. A201949

Numbers n for which there exists k > n such that A000203(k) = A000203(n) and A007947(k) = A007947(n), where A000203 gives the sum of divisors, and A007947 gives the squarefree kernel of n. A255334

a(n) = n*(n + 11)*(n + 22)*(n + 33)/24. A264448

a(n) = (n+1)*(9-9·n+5·n²-n³). A157371

A diagonal of irregular triangle A201949. A201952

T(n,k) is the number of s in {1,...,n}ⁿ having longest contiguous subsequence with the same value of length k; triangle T(n,k), n>=1, 1<=k<=n, read by rows. A228154

a(n) = 19683·n - 13716. A157666