Properties of the Number 42312

Forty-Two Thousand Three Hundred Twelve

Basics

Value: 42311 → 42312 → 42313

Parity: even

Prime: No

Previous Prime: 42307

Next Prime: 42323

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ³ × 3 × 41 × 43

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 41, 43

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1010010101001000

Octal: 122510

Duodecimal: 205A0

Hexadecimal: a548

Square: 1790305344

Square Root: 205.69880894161736

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

Numbers k such that the concatenation of k with k-8 gives a square. A115435

Expansion of g.f. -2·x/(1 - 5·x - sqrt(1-4·x) + x·sqrt(1-4·x) + 2·x²). A78483

Numbers k such that k concatenated with k-9 gives the product of two numbers which differ by 2. A116095

Number of cyclic subgroups of the group GL(2, Z(n)), counting conjugates as distinct. A316560

Expansion of e.g.f. exp(tanh(x)*exp(x)). A9268

Expansion of ∏_k>=1 1/(1 - ∑_j=1..k x^j·k). A319758

Number of permutations of 1..n with all differences of elements separated by distances 1 through 5 being respectively unique. A170811

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 777", based on the 5-celled von Neumann neighborhood. A273444

Expansion of g/(2 - g²), where g = 1+x·g³ is the g.f. of A001764. A391462

Numerators of continued fraction convergents to sqrt(683). A42312