Properties of the Number 31970

Thirty-One Thousand Nine Hundred Seventy

Basics

Value: 31969 → 31970 → 31971

Parity: even

Prime: No

Previous Prime: 31963

Next Prime: 31973

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 × 5 × 23 × 139

Divisors: 1, 2, 5, 10, 23, 46, 115, 139, 230, 278

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111110011100010

Octal: 76342

Duodecimal: 16602

Hexadecimal: 7ce2

Square: 1022080900

Square Root: 178.80156598866802

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

Number of double-free integer partitions of n. A323092

Nearest integer to γ(n + 11/12)/γ(11/12). A20001

a(n) = floor(γ(n+11/12)/γ(11/12)). A20046

Solution of the complementary equation a(n) = 2·a(n-1) - a(n-3) + b(n-2), where a(0) = 1, a(1) = 2, a(2) = 3, b(0) = 4, b(1) = 5, b(2) = 6, and (a(n)) and (b(n)) are increasing complementary sequences. A295616

Number of partitions of n that contain more nonprime parts than prime parts. A355158

a(n) = (n - 1) * ∑_k=2..n A000010(k). A385682

Numbers k such that 73·2^k+1 is prime. A32386

Tennis ball problem: Balls 1 and 2 are thrown into a room; you throw one on lawn; then balls 3 and 4 are thrown in and you throw any of the 3 balls onto the lawn; then balls 5 and 6 are thrown in and you throw one of the 4 balls onto the lawn; after n turns, consider all possible collections on lawn and add all the values. A31970

Numbers k such that !k·k! + 1 = A003422(k) * A000142(k) + 1 = A061640(k) + 1 is prime. A376644