Properties of the Number 1038

One Thousand Thirty-Eight

Basics

Value: 1037 → 1038 → 1039

Parity: even

Prime: No

Previous Prime: 1033

Next Prime: 1039

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 173

Divisors: 1, 2, 3, 6, 173, 346, 519, 1038

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10000001110

Octal: 2016

Duodecimal: 726

Hexadecimal: 40e

Square: 1077444

Square Root: 32.218007387174026

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 "crs" 3D uniform tiling formed from tetrahedra and truncated tetrahedra. A299268

Numbers that are the sum of 8 positive 5th powers. A3353

Schur's 1926 partition theorem: number of partitions of n into parts 6n+1 or 6n-1. A3105

Coefficient of·in the reduction by x² -> x+1 of the polynomial p(n,x) defined at Comments. A192951

Number of partition into distinct parts (a₁, a₂, ... , a_m) (a₁ > a₂ > ... > a_m and ∑_k=1..m a_k = n) such that a1 - a2, a2 - a₃, ... , a_m-1 - a_m, a_m are different. A320348

Coefficients for expansion of (g(x)d/dx)ⁿ g(x); refined Eulerian numbers for calculating compositional inverse of h(x) = (d/dx)^-1 1/g(x); iterated derivatives as infinitesimal generators of flows. A145271

Except a(0)=1 and a(4)=0, number of integer partitions of n with no 1's and at least two parts. A379720

Numbers k whose abundance is 12: σ(k) - 2·k = 12. A141545

Numbers k such that A102489(k) is divisible by k. A32563

Coordination sequence for G₂ lattice. A19557