Properties of the Number 10046

Ten Thousand Forty-Six

Basics

Value: 10045 → 10046 → 10047

Parity: even

Prime: No

Previous Prime: 10039

Next Prime: 10061

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 5023

Divisors: 1, 2, 5023, 10046

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100111110

Octal: 23476

Duodecimal: 5992

Hexadecimal: 273e

Square: 100922116

Square Root: 100.22973610660661

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

Coordination sequence for "tcd" 3D uniform tiling. A299287

Number T(n,k) of proper k-times partitions of n; triangle T(n,k), n >= 0, 0 <= k <= max(0,n-1), read by rows. A327639

a(n) = 8·n² + 7·n + 1. A194268

Number of compositions of n with strictly increasing run-lengths. A333192

a(0) = 1, a(n) = 31·n² + 2 for n>0. A10020

Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 100. A31598

Number of n X 2 0..4 arrays with each element·equal to the number its horizontal and vertical neighbors equal to 2,0,3,4,1 for x=0,1,2,3,4. A196204

Total number of nodes summed over all lattice paths from (0,0) to (n,n) using steps {(k,0), (0,k) | 0<k<=4} which never go above the diagonal x=y. A286918

Number of compositions of n where every distinct subsequence (not necessarily contiguous) has a different sum. A334268

Number of integer partitions of n such that (length) <= 2*(median). A362048