Properties of the Number 31828

Thirty-One Thousand Eight Hundred Twenty-Eight

Basics

Value: 31827 → 31828 → 31829

Parity: even

Prime: No

Previous Prime: 31817

Next Prime: 31847

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ² × 73 × 109

Divisors: 1, 2, 4, 73, 109, 146, 218, 292, 436, 7957

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111110001010100

Octal: 76124

Duodecimal: 16504

Hexadecimal: 7c54

Square: 1013021584

Square Root: 178.4040358287895

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

Partial sums of A299283. A299284

Numbers k such that the digits of k² are exactly the same (albeit in different order) as the digits of (k+1)². A72841

Numbers n such that n | sigma₁₂(n). A55716

Composite n such that (n-1)*φ(n) is a perfect square. A69953

Triangle, read by rows, such that the binomial transform of the n-th row lists the m-dimensional partitions of n, for n>=1 and m>=0. A96806

Column 5 of triangle A123610. A123615

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 60 ones. A31828

Triangle, read by rows, T(n, k) = binomial(3·n, 2·k) + binomial(3·n, 2*(n-k)). A154919

Number of (n+2)X(1+2) 0..2 arrays with every consecutive three elements in every row and column having exactly 2 distinct values, in every diagonal 1 or 2 distinct values, in every antidiagonal 2 or 3 distinct values, and new values 0 upwards introduced in row major order. A252987