Properties of the Number 40001

Forty Thousand One

Basics

Value: 40000 → 40001 → 40002

Parity: odd

Prime: No

Previous Prime: 39989

Next Prime: 40009

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 13 × 17 × 181

Divisors: 1, 13, 17, 181, 221, 2353, 3077, 40001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 1001110001000001

Octal: 116101

Duodecimal: 1B195

Hexadecimal: 9c41

Square: 1600080001

Square Root: 200.0024999843752

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

Łukasiewicz word for each rooted plane tree (interpretation e in Stanley's exercise 19) encoded by A014486 (or A063171), with the last leaf implicit, i.e., these words are given without the last trailing zero, except for the null tree which is encoded as 0. A71153

Truncated square pyramid numbers: a(n) = ∑_{k = n..2·n-1} k². A50410

a(n) = n·10ⁿ + 1. A64748

A239459(n) / n. A239462

Automorphic numbers: numbers k such that k⁶ ends with k. Also m-morphic numbers for all m not congruent to 26 (mod 50) but congruent to 6 (mod 10). A68408

Numbers of the form m² + 1 that can be expressed in more than one way as j² + k² with j > k > 1 and gcd(j,k) = 1. A300166

Numbers n with property that n is a substring of its base 5 representation. A38105

Łukasiewicz words that are also valid asynchronic siteswap juggling patterns. A71160

a(n) = 64·n² + 1. A158686

a(n) = 4·10ⁿ+1. A199684