Properties of the Number 10096

Ten Thousand Ninety-Six

Basics

Value: 10095 → 10096 → 10097

Parity: even

Prime: No

Previous Prime: 10093

Next Prime: 10099

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 631

Divisors: 1, 2, 4, 8, 16, 631, 1262, 2524, 5048, 10096

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011101110000

Octal: 23560

Duodecimal: 5A14

Hexadecimal: 2770

Square: 101929216

Square Root: 100.47885349664377

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

Number A(n,k) of set partitions of [n] such that all absolute differences between least elements of consecutive blocks are <= k; square array A(n,k), n>=0, k>=0, read by antidiagonals. A287216

Number T(n,k) of entries in the k-th blocks of all set partitions of [n] when blocks are ordered by decreasing lengths (and increasing smallest elements); triangle T(n,k), n>=1, 1<=k<=n, read by rows. A319375

T(n,k) = number of nonnegative integer arrays of length n+k-1 with new values 0 upwards introduced in order, and containing the value k-1. A211561

Triangle read by rows, A008277·A000012. A137650

Numbers k such that the continued fraction for sqrt(k) has period 100. A20439

Smallest number that is the largest value in the Collatz (3x + 1) trajectories of exactly n initial values. (a(n)=0 if no such number exists.) A233293

Triangular array read by rows: a(n, k) = number of ordered factorizations of a "hook-type" number with n total prime factors and k distinct prime factors. "Hook-type" means that only one prime can have multiplicity > 1. A98348

Distinct values of A218787 in the order of appearance. A218609

Number of set partitions of [n] such that all absolute differences between least elements of consecutive blocks are <= two. A287252

A triangular array of numbers related to factorization and number of parts in Murasaki diagrams. A133611