Properties of the Number 31641

Thirty-One Thousand Six Hundred Forty-One

Basics

Value: 31640 → 31641 → 31642

Parity: odd

Prime: No

Previous Prime: 31627

Next Prime: 31643

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 53 × 199

Divisors: 1, 3, 53, 159, 199, 597, 10547, 31641

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111101110011001

Octal: 75631

Duodecimal: 16389

Hexadecimal: 7b99

Square: 1001152881

Square Root: 177.87917247390152

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

E.g.f. satisfies A(x) = exp(x + x³/3·A(x)³). A362478

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,k) = n! * ∑_{j=0..floor(n/3)} (k/6)^j * (3·j+1)^n-2·j-1 / (j! * (n-3·j)!). A362490

a(n) = (n-1)*(n-2)³ - A003878(n-3), with a(1) = a(2) = 0 and a(3) = 2. A75681

Integers k such that nextprime(k⁵) - prevprime(k⁵) = 4. A90123

Centered pentagonal numbers which are products of three distinct primes. A364610

Numbers k such that φ(σ(k)+k) = σ(k). A68366

a(n) = (n!/(n+1))*∑_k=0..n binomial(n+k-1,k)/k!. A111140

Expansion of ∏_{k >= 0} (1 + A147954(k)*x^k). A147955

Ulam numbers k such that k/3 is also an Ulam number. A287212

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 53. A31641