Properties of the Number 42589

Forty-Two Thousand Five Hundred Eighty-Nine

Basics

Value: 42588 → 42589 → 42590

Parity: odd

Prime: Yes

Previous Prime: 42577

Next Prime: 42611

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 42589

Divisors: 1, 42589

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010011001011101

Octal: 123135

Duodecimal: 20791

Hexadecimal: a65d

Square: 1813822921

Square Root: 206.37102509800158

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 n such that (10²ⁿ⁺¹+72·10ⁿ-1)/9 is prime. A107649

Centered triangular numbers that are prime. A125602

Primes p such that A001175(p) = (p-1)/9. A308794

n for which floor((4/3)ⁿ) is prime. A70762

a(n) = 28·n² + 1. A158556

Primes of the form 4·n³ - 3. A199369

Primes of the form 7n² + 1. A201602

Fourth term of weak prime sextet: p(m-2)-p(m-3) < p(m-1)-p(m-2) < p(m)-p(m-1) < p(m+1)-p(m) < p(m+2)-p(m+1). A54831

a(n) is the smallest integer that makes A230762(n) the commonest number of decompositions of 2k into an unordered sum of two odd primes, where 3 <= k <= a(n). A230822

Denominators of continued fraction convergents to sqrt(823). A42589