Properties of the Number 31005

Thirty-One Thousand Five

Basics

Value: 31004 → 31005 → 31006

Parity: odd

Prime: No

Previous Prime: 30983

Next Prime: 31013

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 13 × 53

Divisors: 1, 3, 5, 9, 13, 15, 39, 45, 53, 65

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100100011101

Octal: 74435

Duodecimal: 15B39

Hexadecimal: 791d

Square: 961310025

Square Root: 176.08236708995025

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 subsets of {1..n} of which every subset has a different sum. A325864

T(n,k)=Number of length n 1..(k+1) arrays with every leading partial sum divisible by 2, 3 or 5. A254827

Numbers k such that the k-th centered pentagonal number A005891(k) = (5k² + 5k + 2)/2 is a square. A129556

Numbers such that the digital sum base 2 and the digital sum base 3 and the digital sum base 10 all are equal. A135120

[ (3rd elementary symmetric function of 3,4,...,n+4)/(3+4+...+n+4) ]. A24191

Number of Dyck paths of semilength n having no ascents of length 1 that start at an even level. A102406

Numbers n such that prime[(n + 1)²] - prime[n²] is a perfect square. A145290

Run length of the n-th run of Fibonacci composites. A182600

Number of length n 1..(5+1) arrays with every leading partial sum divisible by 2, 3 or 5. A254824

Number of length 7 1..(n+1) arrays with every leading partial sum divisible by 2, 3 or 5. A254834