Properties of the Number 56813

Fifty-Six Thousand Eight Hundred Thirteen

Basics

Value: 56812 → 56813 → 56814

Parity: odd

Prime: Yes

Previous Prime: 56809

Next Prime: 56821

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 56813

Divisors: 1, 56813

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101110111101101

Octal: 156755

Duodecimal: 28A65

Hexadecimal: dded

Square: 3227716969

Square Root: 238.3547775900454

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

Numerators of primes-only best approximates (POBAs) to sqrt(3); see Comments. A265782

Numerators of upper primes-only best approximates (POBAs) to sqrt(3); see Comments. A265780

Primes p such that φ(φ(p-1)+1) = φ(φ(p-2)+1). A271659

Smallest primes of 4 X 4 semimagic squares formed from consecutive primes. A270865

Let p(k) = k-th prime; sequence gives primes q of the form q = k·p(k) - 1 for some k. A96065

a(n) is the largest prime that is a sum of some 3 distinct previous terms. A226027

Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 36. A31624

Number of partitions of n into parts but with two kinds of parts of sizes 1 to 7. A103926

Largest non-unitary prime factor of LCM(1,...,n); that is, the largest prime which occurs to power > 1 in prime factorization of LCM(1,..,n). A56813

Smallest integer that is a sum of 2·k consecutive primes for each k = 1..n. A222592