Properties of the Number 30593

Thirty Thousand Five Hundred Ninety-Three

Basics

Value: 30592 → 30593 → 30594

Parity: odd

Prime: Yes

Previous Prime: 30577

Next Prime: 30631

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 30593

Divisors: 1, 30593

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111011110000001

Octal: 73601

Duodecimal: 15855

Hexadecimal: 7781

Square: 935931649

Square Root: 174.9085475327035

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

n satisfying σ(n+1) = σ(n-1). A55574

Number of integer partitions of n whose multiplicities have integer median. A360687

Numbers k such that k³ is a cube whose digits occur with an equal minimum frequency of 2. A52051

Records in A000230. A133429

a(n) is the smallest prime q such that, for the previous prime p and the following prime r, the fraction (q-p)/(r-q) has denominator n (or 0, if such a prime does not exist). A168253

Smallest prime p such that there is a gap of exactly 2·prime(n) between p and the next prime. A80082

Primes p such that σ(p+1) = σ(p-1). A67891

Primes p such that q - p = 38, where q is the next prime after p. A134118

Increasing peaks in the prime gap sequence A000230. A86977