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Properties of the Number 27580

Twenty-Seven Thousand Five Hundred Eighty

Basics

Value: 27579 → 27580 → 27581

Parity: even

Prime: No

Previous Prime: 27551

Next Prime: 27581

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 2 × 5 × 7 × 197

Divisors: 1, 2, 4, 5, 7, 10, 14, 20, 28, 35

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 110101110111100

Octal: 65674

Duodecimal: 13B64

Hexadecimal: 6bbc

Square: 760656400

Square Root: 166.07227342335023

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 ways to split an integer partition of n into contiguous subsequences with strictly increasing sums. A336134
T(n,k) = Number of n X k 0..1 arrays with no element equal to more than two of its horizontal, vertical and antidiagonal neighbors, with the exception of exactly one element, and with new values introduced in order 0 sequentially upwards. A281080
Number of partitions p of n such that the number of numbers having multiplicity 1 in p is a part and the number of numbers having multiplicity > 1 is not a part. A241416
Number of discordant permutations. A561
Squared end-to-end distance of irreducible endless self-avoiding walks of length n for the square lattice. A334323
Pell companion numbers A001333 without last digit. A131607
7 times heptagonal numbers: a(n) = 7·n*(5·n-3)/2. A152777
Numbers k such that φ(σ(k)+k) = σ(k-φ(k)), where φ is A000010 and σ is A000203. A63710
a(n) = 280·binomial(n+4,9) + 280·binomial(n+4,8) + 105·binomial(n+3,7) + 77·binomial(n+3,6) + 43·binomial(n+2,5) - 16·binomial(n+2,4) + 20·binomial(n+1,3) - floor(n*(n2 - 1)*(n2 - 4)*(n-3)/360). A64204
Numerator of Hermite(n, 7/19). A159645