Properties of the Number 31697

Thirty-One Thousand Six Hundred Ninety-Seven

Basics

Value: 31696 → 31697 → 31698

Parity: odd

Prime: No

Previous Prime: 31687

Next Prime: 31699

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 29 × 1093

Divisors: 1, 29, 1093, 31697

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101111010001

Octal: 75721

Duodecimal: 16415

Hexadecimal: 7bd1

Square: 1004699809

Square Root: 178.03651310896873

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

Euler pseudoprimes to base 3: composite integers such that abs(3^{(n - 1}/2)) == 1 mod n. A262051

Structured hexagonal diamond numbers (vertex structure 5). A100178

Odd numbers k > 1 such that gcd(3,k) = 1 and 3^(k-1/2) == -(3/k) (mod k), where (3/k) is the Jacobi symbol (or Kronecker symbol); Euler pseudoprimes to base 3 (A262051) that are not Euler-Jacobi pseudoprimes to base 3 (A048950). A375490

Super pseudoprimes (or superpseudoprimes) to base 3: Fermat pseudoprimes to base 3 all of whose divisors that are larger than 1 are either primes or Fermat pseudoprimes to base 3. A328662

a(1) = 1; a(n) = -∑_k=2..n k³ * a(floor(n/k)). A360658

Numbers m such that m² divides 2^k - 1 for some k, 0 < k <= m. A246503

Number of self-complementary set partitions of {1, ..., n} with no singletons. A324013

Numbers k such that the ring of integers of Q(2^1/k) is not Z[2^1/k]. A342390

The "residue" pseudoprimes: odd composite numbers n such that q(n)^(n-1/2) == 1 (mod n), where base q(n) is the smallest prime quadratic residue modulo n. A307798

Number of 4 X 4 symmetric magic squares with line sum 2n. A93198