Properties of the Number 20357

Twenty Thousand Three Hundred Fifty-Seven

Basics

Value: 20356 → 20357 → 20358

Parity: odd

Prime: Yes

Previous Prime: 20353

Next Prime: 20359

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 20357

Divisors: 1, 20357

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100111110000101

Octal: 47605

Duodecimal: B945

Hexadecimal: 4f85

Square: 414407449

Square Root: 142.67795905464865

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

Smallest prime in the sequence s(k) = n·s(k-1) - s(k-2), with s(0) = 1, s(1) = n + 1 (or -1 if no such prime exists). A269253

Primes of form n² + 2401. A256835

Conjecturally, number of infinitely-recurring prime patterns on n consecutive integers. A23192

Chebyshev polynomials S(n,27) + S(n-1,27) with Diophantine property. A97834

Prime numbers n such that n = p1³ + p2³ + p3³, a sum of cubes of 3 distinct prime numbers. A137365

a(n) = prime(100·n). A31921

Sum of n-th antidiagonal of A082191. A82195

Primes p such that ∑_{k=PreviousPrime(p)..p} d(k) = ∑_{k=p..NextPrime(p)} d(k), where d(k) is the number of divisors function A000005. A353552

Subsequence of A137365 where it is possible to choose p1, p2, p3 so that p1+p2+p3 = prime. A137366

Primes congruent to 2 mod 59. A142729