Properties of the Number 40080

Forty Thousand Eighty

Basics

Value: 40079 → 40080 → 40081

Parity: even

Prime: No

Previous Prime: 40063

Next Prime: 40087

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 × 167

Divisors: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1001110010010000

Octal: 116220

Duodecimal: 1B240

Hexadecimal: 9c90

Square: 1606406400

Square Root: 200.19990009987518

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

Consider the base-9 Kaprekar map n->K(n) defined in A165110. Sequence gives numbers belonging to cycles, including fixed points. A165115

Consider the base-9 Kaprekar map n->K(n) defined in A165110. Sequence gives numbers belonging to cycles of length greater than 1. A165117

Numbers k such that prime(k) == 7 (mod k). A23149

Number of ways to select 2 disjoint point triples from an n X n X n triangular point grid, each point triple forming an 2 X 2 X 2 triangle. A289223

a(n) = 8·7*6·5*4·3*2·1 - 16·15·14·13·12·11·10·9 + 24·23·22·21·20·19·18·17 - ... + (up to the n-th term). A319891

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317604

Determinants of 4 X 4 matrices of 16 consecutive primes. A118799

Partition numbers rounded to nearest integer given by the Hardy-Ramanujan approximate formula. A50811

Number of distinct Markov type classes of order 4 possible in binary strings of length n. A132299

Number of permutations of {1,...,n} avoiding adjacent step pattern up, up, down, down, down, down. A177548