Properties of the Number 42972

Forty-Two Thousand Nine Hundred Seventy-Two

Basics

Value: 42971 → 42972 → 42973

Parity: even

Prime: No

Previous Prime: 42967

Next Prime: 42979

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ² × 3 × 3581

Divisors: 1, 2, 3, 4, 6, 12, 3581, 7162, 10743, 14324

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011111011100

Octal: 123734

Duodecimal: 20A50

Hexadecimal: a7dc

Square: 1846592784

Square Root: 207.29688854394317

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

Antidiagonal sums of the antidiagonals of Losanitsch's triangle. A102543

a(n) = 680·2ⁿ - 548. A305271

Expansion of 1/((1-x)³ (1-x²)² (1-x³) (1-x⁴)). A2626

Number of incongruent ways to tile a 2 X n room with 1 X 2 Tatami mats. At most 3 Tatami mats may meet at a point. A68927

Number of squares of all sizes in 3·n*(n+1)/2-ominoes in form of three-quarters of Aztec diamonds. A258440

G.f.: (1+x)^2·g*(1+x³)^3·g/((1-x²)*(1-x⁴))-x^2·g*(1+x)⁴/((1-x²)*(1-x⁴)) for g=3. A199629

Number of (n+1) X (1+1) 0..4 arrays with each row and column divisible by 13, read as a base-5 number with top and left being the most significant digits. A263434

Irregular triangle read by rows: T(n, k) is the number of n-step closed walks on the hexagonal lattice having algebraic area k. A353091

Decimal expansion of i^-i, where i = sqrt(-1). A42972

Number of (n+1)X6 0..2 arrays with every 2X2 subblock having two distinct values, and new values 0..2 introduced in row major order. A209894