Properties of the Number 43313

Forty-Three Thousand Three Hundred Thirteen

Basics

Value: 43312 → 43313 → 43314

Parity: odd

Prime: Yes

Previous Prime: 43291

Next Prime: 43319

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 43313

Divisors: 1, 43313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010100100110001

Octal: 124461

Duodecimal: 21095

Hexadecimal: a931

Square: 1876015969

Square Root: 208.1177551291576

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

Odd numbers which take a record number of steps to reach {1, 9, or 33} under iteration of the map described in the comments section of A135730. A261674

Primes p such that 14·p + 1 divides 2^p - 1. A350702

Primes that start a run of at least seven consecutive primes, where between successive primes exactly one digit changes and the resulting digits may be permuted. A157717

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 59. A31647

Primes of the form prime(nk) followed by prime(k). A89788

Prime septets of form k, k+2100, k+4200, k+6300, k+8400, k+10500, k+12600. A123107

G.f.: P(x,y) = ∏_n>=1 1/(1 - (xⁿ + yⁿ)), where P(x,y) = ∑_n>=0 ∑_k>=0 T(n,k) * xⁿ*y^k, as a square table of coefficients T(n,k) read by antidiagonals. A322210

a(n)=A033007(n)/10. A43313

Numbers k such that (13·10^k - 61)/3 is prime. A291201