Properties of the Number 5216

Five Thousand Two Hundred Sixteen

Basics

Value: 5215 → 5216 → 5217

Parity: even

Prime: No

Previous Prime: 5209

Next Prime: 5227

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 2 ⁵ × 163

Divisors: 1, 2, 4, 8, 16, 32, 163, 326, 652, 1304

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1010001100000

Octal: 12140

Duodecimal: 3028

Hexadecimal: 1460

Square: 27206656

Square Root: 72.22188034107116

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

Multiples of 16 containing a 16 in their decimal representation. A121036

a(1)=1, a(n)=a(n-1)+n if n odd, a(n)=a(n-1)+ n² if n is even. A140113

Number of integer partitions of n that cannot be partitioned into a set (or multiset) of sets with distinct sums. A381990

Partial sums of ceiling(n²/2) (A000982). A131941

Product of the 5th power of a prime (A050997) and a different prime (p⁵*q). A178740

T(n,k)=Number of nXk 0..1 arrays with no more than floor(nXk/2) elements unequal to at least one horizontal, diagonal or antidiagonal neighbor, with new values introduced in row major 0..1 order. A222541

Number of integer partitions of n whose parts minus 1 are relatively prime. A328170

Structured hexagonal diamond numbers (vertex structure 5). A100178

Least number k such that there are exactly n ways to choose a multiset consisting of a binary index of each binary index of k. A367913

Sorted positions of first appearances in A367912 (number of multisets that can be obtained by choosing a binary index of each binary index). A367915