Properties of the Number 3089

Three Thousand Eighty-Nine

Basics

Value: 3088 → 3089 → 3090

Parity: odd

Prime: Yes

Previous Prime: 3083

Next Prime: 3109

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 3089

Divisors: 1, 3089

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 110000010001

Octal: 6021

Duodecimal: 1955

Hexadecimal: c11

Square: 9541921

Square Root: 55.57877292636101

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(n) is the number of partitions of 2n that can be obtained by adding together two (not necessarily distinct) partitions of n. A2219

Expansion of 6-dimensional cusp form (η(q) * η(q³))⁶ in powers of q. A7332

Primes with first digit 3. A45709

Prime numbers congruent to 1 modulo 16 representable by both x² + 32·y² and x² + 64·y². A325067

Primes p such that p + nextprime(p) is the arithmetic mean of a pair of twin primes. A99349

Binary representation of base-(i-1) expansion of n: replace i-1 with 2 in base-(i-1) expansion of n. A66321

Lower prime of a difference of 20 between consecutive primes. A31938

Primes such that the sum of the predecessor and successor primes is divisible by 43. A113158

Primes p such that the multiplicative order of 2 modulo p is (p-1)/4. A1134

Number T(n,k) of set partitions of [n] with minimal block length multiplicity equal to k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A271424