Properties of the Number 31989

Thirty-One Thousand Nine Hundred Eighty-Nine

Basics

Value: 31988 → 31989 → 31990

Parity: odd

Prime: No

Previous Prime: 31981

Next Prime: 31991

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 10663

Divisors: 1, 3, 10663, 31989

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110011110101

Octal: 76365

Duodecimal: 16619

Hexadecimal: 7cf5

Square: 1023296121

Square Root: 178.85468962260956

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

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays x(i,j) with every row sum{j·x(i,j), j=1..k+2} equal, and every column sum{i·x(i,j), i=1..n+2} equal, with upper left element zero. A232654

Expansion of ∏_{1 <= i < j} 1/(1 - x^i·j). A321285

The growth series for the affine Coxeter (or Weyl) group [3,3,5] (or H₄). A266783

Concatenating n with n+1 (in base 10) gives a number which is the product of 2 palindromes. A113942

Number of (n+2)X(5+2) 0..1 arrays x(i,j) with every row sum{j·x(i,j), j=1..5+2} equal, and every column sum{i·x(i,j), i=1..n+2} equal, with upper left element zero. A232651

E.g.f. satisfies: A(x - Integral 3·A(x) dx) = x + Integral A(x) dx. A280571

Duplicate of A023746. A31989