Properties of the Number 31984

Thirty-One Thousand Nine Hundred Eighty-Four

Basics

Value: 31983 → 31984 → 31985

Parity: even

Prime: No

Previous Prime: 31981

Next Prime: 31991

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 2 ⁴ × 1999

Divisors: 1, 2, 4, 8, 16, 1999, 3998, 7996, 15992, 31984

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110011110000

Octal: 76360

Duodecimal: 16614

Hexadecimal: 7cf0

Square: 1022976256

Square Root: 178.84071124886526

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 subset-sums of strict integer partitions of n. A365925

T(n,k) = Number of n X k 0..7 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor. A202916

Decimal representation of the x-axis, from the origin to the right edge, of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 627", based on the 5-celled von Neumann neighborhood. A283379

Number of primes generated from Euler's polynomial x² + x + 41 from x = 1 to 10ⁿ. A228123

Number of nX2 0..7 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor. A202910

Number of nX3 0..7 arrays with every nonzero element less than or equal to some horizontal or vertical neighbor. A202911

Expansion of (theta₃(z)*theta₃(5z)+theta₂(z)*theta₂(5z))⁴. A28589

θ series of odd 8-dimensional 5-modular lattice O(5). A29719

Numbers having four 7's in base 9. A43484

Numbers with exactly five distinct base-7 digits. A31984