Properties of the Number 31445

Thirty-One Thousand Four Hundred Forty-Five

Basics

Value: 31444 → 31445 → 31446

Parity: odd

Prime: No

Previous Prime: 31397

Next Prime: 31469

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 5 × 19 × 331

Divisors: 1, 5, 19, 95, 331, 1655, 6289, 31445

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 111101011010101

Octal: 75325

Duodecimal: 16245

Hexadecimal: 7ad5

Square: 988788025

Square Root: 177.32738085247863

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

Irregular triangle read by rows. Properly color the vertices of a simple labeled graph on [n] using exactly n colors c₁<c₂<...<c_n (in other words, use each color exactly once). Orient the edges according to the strict order on the colors. T(n,k) is the number of such graphs with exactly k descents, n>=0, 0<=k<=binomial(n,2). A381192

Number of partitions p of n such that max(p) - min(p) is a part of p. A238493

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 1), (0, 0, -1), (0, 1, 0), (1, -1, 0)}. A148186

Numbers k at which the ratio A288814(k) / k reaches a record high. A301592

Numbers whose base-2 representation has 2 more 0's than 1's. A31445

Number of (n+1)X(2+1) 0..2 arrays colored with the maximum plus the minimum minus the lower median of every 2X2 subblock. A237177