Properties of the Number 42509

Forty-Two Thousand Five Hundred Nine

Basics

Value: 42508 → 42509 → 42510

Parity: odd

Prime: Yes

Previous Prime: 42499

Next Prime: 42533

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 42509

Divisors: 1, 42509

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011000001101

Octal: 123015

Duodecimal: 20725

Hexadecimal: a60d

Square: 1807015081

Square Root: 206.17710833164773

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

Decimal part of cube root of n starts with 9: first term of runs. A34135

Expansion of 1/(1-x*(1-6·x)). A145934

Primes p such that p, p+24, p+48 are consecutive primes. A52190

a(n) is the smallest prime p such that p and the next n-1 primes are all == 5 (mod 12). A68234

G.f. A(x) satisfies: A(x) = 1 + x·A(x/(1 - 2·x)²) / (1 - 2·x). A392468

The sequence e when b=[ 1,0,1,1,1,... ]. A42953

Pairs of consecutive primes {p,q} for which the numbers of distinct residues of all factorials mod p and mod q coincide. A210242

Expansion of ∏_k>0 1/(∑_m>=0 x^k·m²). A320119

Fibonacci sequence beginning 1, 26. A22396

List of triples of primes with common difference 24. A128383