Properties of the Number 10038

Ten Thousand Thirty-Eight

Basics

Value: 10037 → 10038 → 10039

Parity: even

Prime: No

Previous Prime: 10037

Next Prime: 10039

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 7 × 239

Divisors: 1, 2, 3, 6, 7, 14, 21, 42, 239, 478

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100110110

Octal: 23466

Duodecimal: 5986

Hexadecimal: 2736

Square: 100761444

Square Root: 100.18981984213765

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 of partitions satisfying 0 < cn(0,5) + cn(1,5) + cn(4,5). A39900

(24n - 1)p(n): traces of partition class polynomials, with a(0) = -1. A183011

Triangle read by rows: T(n,k) = number of degree-n permutations with k odd cycles, k=0..n, n >= 0. A60524

Numbers m such that m² ends in 444. A39685

Number of distinct circles that can be constructed from an n·n square grid of points using only a compass. A359931

Triangle read by rows: T(n,k) is the number of partially labeled trees with n nodes, k of which are labeled, 0 <= k <= n. A34799

Numbers that are the sum of nine fourth powers in exactly seven ways. A345849

Triangle T(n,k) of coefficients of Meixner polynomials of degree n, k=0..n. A60338

Numbers m with m-1, m+1 and prime(m)+2 all prime. A259539

Triangle read by rows: Take a hexagon with all diagonals drawn, as in A331931. Then T(n,k) = number of k-sided polygons in that figure for k = 3, 4, ..., n+4. A331932