Properties of the Number 89

Eighty-Nine

Basics

Value: 88 → 89 → 90

Parity: odd

Prime: Yes

Previous Prime: 83

Next Prime: 97

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 89

Divisors: 1, 89

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001

Octal: 131

Duodecimal: 75

Hexadecimal: 59

Square: 7921

Square Root: 9.433981132056603

Classification

Fibonacci: Yes

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

The prime numbers. A40

Fibonacci numbers: F(n) = F(n-1) + F(n-2) with F(0) = 0 and F(1) = 1. A45

Squarefree numbers: numbers that are not divisible by a square greater than 1. A5117

Expansion of ∏_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts. A9

The odd numbers: a(n) = 2·n + 1. A5408

Powers of primes. Alternatively, 1 and the prime powers (p^k, p prime, k >= 1). A961

Lpf(n): least prime dividing n (when n > 1); a(1) = 1. Or, smallest prime factor of n, or smallest prime divisor of n. A20639

Mersenne exponents: primes p such that 2^p - 1 is prime. Then 2^p - 1 is called a Mersenne prime. A43

Prime numbers at the beginning of the 20th century (today 1 is no longer regarded as a prime). A8578

Pythagorean primes: primes of the form 4·k + 1. A2144

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