Properties of the Number 31680

Thirty-One Thousand Six Hundred Eighty

Basics

Value: 31679 → 31680 → 31681

Parity: even

Prime: No

Previous Prime: 31667

Next Prime: 31687

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 ⁶ × 3 ² × 5 × 11

Divisors: 1, 2, 3, 4, 5, 6, 8, 9, 10, 11

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101111000000

Octal: 75700

Duodecimal: 16400

Hexadecimal: 7bc0

Square: 1003622400

Square Root: 177.9887636902959

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

Order of the group SL(2,Z_n). A56

Number of integer compositions of n with the same length as the absolute value of their alternating sum. A357183

Number of non-congruent solutions to x² + y² + z² + t² == 1 (mod n). A208895

Values of the difference d for 6 primes in geometric-arithmetic progression with the minimal sequence {7·7^j + j·d}, j = 0 to 5. A209205

Triangle read by rows: T(n,k) is the number of labeled commutative monoids of order n with k idempotents. A58159

Compute S, the number of different quadratic residues modulo B for every base B. If the density S/B is smaller for B than for every B' less than B, then B is added to the sequence. A85635

Number of tilings of a 4 X n rectangle using L and T tetrominoes. A233191

Expansion of e.g.f. (1+x)^1-x. A7120

Eighth column (k=7) of sextinomial array A063260. A63262

Sums over successive antidiagonals of A248059. A248060