Properties of the Number 42089

Forty-Two Thousand Eighty-Nine

Basics

Value: 42088 → 42089 → 42090

Parity: odd

Prime: Yes

Previous Prime: 42083

Next Prime: 42101

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 42089

Divisors: 1, 42089

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010010001101001

Octal: 122151

Duodecimal: 20435

Hexadecimal: a469

Square: 1771483921

Square Root: 205.15603817582362

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

Consider the array T(n, m) = m-th prime of the form n·i(i+1)/2 +/- 1. This sequence is the main diagonal. A125765

Number of (w,x,y,z) with all terms in {1,...,n} and w³<x³+y³+z³. A212097

Cyclops Sophie-Germain primes. A183058

Number of partitions of n with rank 4 or higher (the rank of a partition is the largest part minus the number of parts). A363231

Index k in A095773 where a string of n identical values occurs. A96183

Primes p such that q=p²+p+1 is prime and (q²+q+1)/3 is prime. A322748

Depression-type primes with five digits; from left to right digits decrease to and increase from the central digit. A157083

Denominators of continued fraction convergents to sqrt(568). A42089