Properties of the Number 58313

Fifty-Eight Thousand Three Hundred Thirteen

Basics

Value: 58312 → 58313 → 58314

Parity: odd

Prime: Yes

Previous Prime: 58309

Next Prime: 58321

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 58313

Divisors: 1, 58313

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110001111001001

Octal: 161711

Duodecimal: 298B5

Hexadecimal: e3c9

Square: 3400405969

Square Root: 241.48084810187328

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(1) = 61. For n > 1, a(n) = smallest prime q such that q^a(n-1-1) == 1 (mod a(n-1)²). A355602

Primes of the form x² + y² + z, where x, y and z are three successive numbers. A95697

Primes of the form T(k) + S(k) + 1 where T(k) is the k-th triangular number and S(k) is the k-th square number. A229080

Primes from A122136 corresponding to the indices A122138. A122139

Primes p such that 2^p-1+3 is prime. A153503

Primes of the form n²+5·n+c (n>=0), where c=3 for even n and c=-3 for odd n. A117012

Primes of the form 10n³-7. A201038

Primes of the form 5n² - 7. A201788

Primes p such that p²+q+r, p+q²+r and p+q+r² are all prime, where q and r are the next two primes after p. A348353

Numerator of the n-th alternating harmonic number, ∑_k=1..n (-1)^k+1/k. A58313