Properties of the Number 75353

Seventy-Five Thousand Three Hundred Fifty-Three

Basics

Value: 75352 → 75353 → 75354

Parity: odd

Prime: Yes

Previous Prime: 75347

Next Prime: 75367

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 75353

Divisors: 1, 75353

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010011001011001

Octal: 223131

Duodecimal: 37735

Hexadecimal: 12659

Square: 5678074609

Square Root: 274.5050090617656

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

Base-2 expansion of a(n) encodes the steps where numbers of the form 4k+1 are encountered when map x -> A252463(x) is iterated down to 1, starting from x=n. A292381

Primes of form n² + n + 3. A27753

Primes with consecutive digits that differ exactly by 2. A48399

Expansion of (1+x²)*(1+x⁵)*(1+x⁸)/((1-x)*(1-x²)*(1-x³)*(1-x⁴)*(1-x⁵)*(1-x⁶)*(1-x⁷)*(1-x⁸)*(1-x⁹)*(1-x¹⁰)). A69950

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

Odd k for which k+2^m is composite for all m < k. A33919

Primes with only prime digits and whose initial, all intermediate and final iterated sums of digits are primes. A70029

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (0, 1, -1), (1, -1, 1), (1, 0, 0), (1, 1, 1)}. A150883

Maximal sequence of primes whose digits are primes and whose digit sum is also a term. A360497

Initial term of n-th group in A075352. A75353