Properties of the Number 42707

Forty-Two Thousand Seven Hundred Seven

Basics

Value: 42706 → 42707 → 42708

Parity: odd

Prime: No

Previous Prime: 42703

Next Prime: 42709

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 7 × 6101

Divisors: 1, 7, 6101, 42707

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011011010011

Octal: 123323

Duodecimal: 2086B

Hexadecimal: a6d3

Square: 1823887849

Square Root: 206.65672019075498

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 partitions of n such that some part is a sum of two or more other parts. A237668

Number of leaf-balanced trees with n nodes. A291443

a(1) = 1 and for n > 1 let a(n) = a(n-1) + m, where m is the arithmetic mean of the largest subset of all predecessors such that m is an integer and m is maximal. A63676

Total number of nodes summed over all nonnegative lattice paths from (0,0) to (n,0) where the allowed steps at (x,y) are (h,v) with h in {1..max(1,y)} and v in {-1,0,1}. A337318

Triangle, read by rows, such that the binomial transform of the n-th row lists the m-dimensional partitions of n, for n>=1 and m>=0. A96806

Denominators of continued fraction convergents to sqrt(883). A42707