Properties of the Number 75313

Seventy-Five Thousand Three Hundred Thirteen

Basics

Value: 75312 → 75313 → 75314

Parity: odd

Prime: No

Previous Prime: 75307

Next Prime: 75323

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 7 ² × 29 × 53

Divisors: 1, 7, 29, 49, 53, 203, 371, 1421, 1537, 2597

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010011000110001

Octal: 223061

Duodecimal: 37701

Hexadecimal: 12631

Square: 5672047969

Square Root: 274.4321409747772

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

n written in fractional base 9/7. A24655

Start with 1. Successive digits in the sequence must differ by 2. Adjoin the smallest number not yet in the sequence. A228328

Number of partitions of n containing a prime number of distinct primes and an arbitrary number of nonprimes. A344715

E.g.f. A(x) satisfies A(x) = ( 1 + 3·x*exp(x·A(x)) )^1/3. A380094

Pair the natural numbers such that the n-th pair is (k, k+prime(n)) where k is the smallest number not occurring earlier and prime(n) is the n-th prime. (1, 3), (2, 5), (4, 9), (6, 13), (7, 18), (8, 21), (10, 27), (11, 30), (12, 35), (14, 43), ... This is the sequence of the first member of every pair. A75313