Properties of the Number 5100

Five Thousand One Hundred

Basics

Value: 5099 → 5100 → 5101

Parity: even

Prime: No

Previous Prime: 5099

Next Prime: 5101

Digit Sum: 6

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 5 ² × 17

Divisors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 17

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111101100

Octal: 11754

Duodecimal: 2B50

Hexadecimal: 13ec

Square: 26010000

Square Root: 71.4142842854285

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

Numbers whose unsorted prime signature is not unimodal. A332282

a(n) = 4·n*(2·n + 1). A33586

Triangle read by rows: row n lists number of ordered partitions into k parts of partitions of n. A60642

Number T(n,k) of primitive (= aperiodic) n-bead necklaces with colored beads of exactly k different colors; triangle T(n,k), n >= 0, 0 <= k <= n, read by rows. A254040

Number of permutations up to cyclic rotations; permutation siteswap necklaces. A61417

a(n) = lcm(p-1, p+1) where p is the n-th prime. A84921

Numbers n such that p(6n) is prime, where p(n) is the number of partitions of n. A111036

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 2,-2 -1,0 -1,2 1,0 or 0,-1. A264379

Numbers n that raised to the powers from 1 to k (with k>=1) are multiple of the sum of their digits (n raised to k+1 must not be a multiple). Case k=6. A135191

T(n,k)=Number of nXk 0..3 arrays x(i,j) with each element horizontally, diagonally or antidiagonally next to at least one element with value (x(i,j)+1) mod 4 and at least one element with value (x(i,j)-1) mod 4, no adjacent elements equal, and upper left element zero. A231049