Properties of the Number 42523

Forty-Two Thousand Five Hundred Twenty-Three

Basics

Value: 42522 → 42523 → 42524

Parity: odd

Prime: No

Previous Prime: 42509

Next Prime: 42533

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 13 × 3271

Divisors: 1, 13, 3271, 42523

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011000011011

Octal: 123033

Duodecimal: 20737

Hexadecimal: a61b

Square: 1808205529

Square Root: 206.2110569295449

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

G.f. satisfies: -1 = ∏_n>=1 (1-xⁿ) * (1 - xⁿ/A(x)) * (1 - x^n-1*A(x)), where g.f. A(x) = ∑_n>=0 a(n)*2*(x/4)ⁿ. A268300

The Wiener index of the comb-shaped graph |_|_|...|_| with 2n (n>=1) nodes. The Wiener index of a connected graph is the sum of the distances between all unordered pairs of vertices in the graph. A192023

Number of numbers with sum of digits n in fractional base 4/3. A364780

Numbers k such that 347·2^k+1 is prime. A322971

G.f. satisfies: -1 = ∏_n>=1 (1-xⁿ) * (1 - xⁿ*A(x)) * (1 - x^n-1/A(x)), where g.f. A(x) = ∑_n>=0 a(n)/2*(x/4)ⁿ. A268301

Denominators of continued fraction convergents to sqrt(790). A42523

G.f.: ∑_n>=1 x^n*(n-1/2) * (G(x)ⁿ + 1/G(x)^n-1), where G(x) is the g.f. of A268300. A268302

Number of nX5 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 0 1 0 vertically. A207771