Properties of the Number 31672

Thirty-One Thousand Six Hundred Seventy-Two

Basics

Value: 31671 → 31672 → 31673

Parity: even

Prime: No

Previous Prime: 31667

Next Prime: 31687

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ³ × 37 × 107

Divisors: 1, 2, 4, 8, 37, 74, 107, 148, 214, 296

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101110111000

Octal: 75670

Duodecimal: 163B4

Hexadecimal: 7bb8

Square: 1003115584

Square Root: 177.9662889425972

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

a(n) = (2·n-1)*(5·n²-5·n+2)/2. A63495

T(n,k)=Number of (n+1)X(k+1) binary arrays with no 2X2 subblock commuting with any of its horizontal and vertical 2X2 subblock neighbors. A187729

T(n,k) = Number of (n+1) X (k+1) 0..2 arrays with the upper median of every 2 X 2 subblock differing from its horizontal and vertical neighbors by exactly one. A237637

Sum of all the middle parts in the partitions of 3n into 3 parts. A236364

Triangle, read by rows, that transforms diagonals in the table of coefficients in the successive iterations of the g.f. (A233531) such that column 0 consists of all zeros after row 1. A233530

Second column of triangle A233530. A233532

a(n) = n*(7·n² - 3·n - 1)/3. A214659

Expansion of ∏_{i>=1, j>=1} (1 + x^{i*(2·j - 1})). A327731

Numbers n such that log(n!) is closer to an integer than is log(m!) for any m with 2<m<n. A101506

Number of 1's in all partitions of n with no even parts repeated. A117276