Properties of the Number 31122

Thirty-One Thousand One Hundred Twenty-Two

Basics

Value: 31121 → 31122 → 31123

Parity: even

Prime: No

Previous Prime: 31121

Next Prime: 31123

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 7 × 13 × 19

Divisors: 1, 2, 3, 6, 7, 9, 13, 14, 18, 19

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111100110010010

Octal: 74622

Duodecimal: 16016

Hexadecimal: 7992

Square: 968578884

Square Root: 176.41428513586987

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

a(n) = (n+1)*(n-2)*(n-3)/2. A212343

Number of monomer-dimer tatami tilings (no four tiles meet) of the n X n grid with n monomers and equal numbers of vertical and horizontal dimers, up to rotational symmetry. A182107

Smallest possible largest number in a set of n integers such that sum of two elements is always a perfect square. A195854

Numbers k such that (1/k) * ∑_d∣k d*σ(d) is an integer. A69520

"Inside numbers". Pick a term "t" and one of its digits "d". Now jump to the right over d digits if "d" is odd, and to the left over d digits if "d" is even. Whatever the "d" you choose, you will stay on "t". A284515

Integers corresponding to rational knots in Conway's enumeration. A122495

Minimal covering numbers. A160559

a(n) = A182107(4n+1). A226301

Positive integers that have a record number of divisors in Eisenstein integers. A323392

Table read by antidiagonals: T(w,n) is the number of n-step self avoiding walks on a 3D cubic lattice confined inside a tube of cross section w·w where the walk starts at the tube's edge. A337403