Properties of the Number 89689

Eighty-Nine Thousand Six Hundred Eighty-Nine

Basics

Value: 89688 → 89689 → 89690

Parity: odd

Prime: Yes

Previous Prime: 89681

Next Prime: 89753

Digit Sum: 40

Digital Root: 4

Palindrome: No

Factorization: 89689

Divisors: 1, 89689

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101111001011001

Octal: 257131

Duodecimal: 43AA1

Hexadecimal: 15e59

Square: 8044116721

Square Root: 299.4812181089158

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

a(0)=2; for n>=1, a(n) = smallest prime p such that there is a gap of exactly 2n between p and next prime, or -1 if no such prime exists. A230

prime(k) for those k where floor((2*(prime(k+1)-prime(k))*PrimePi(k) mod (8·k))/k) = m with m = 15. A109569

First occurrence of prime gaps which are squares. A138198

Primes having only {6, 8, 9} as digits. A385800

Records in A000230. A133429

Primes for which the six closest primes are smaller. A75038

Primes for which the seven closest primes are smaller. A75043

Primes for which the eight closest primes are smaller. A75050

Primes p such that q-p = 64, where q is the next prime after p. A204670

Smallest prime p such that there is a gap of 2ⁿ between p and the next prime. A62529