Properties of the Number 75011

Seventy-Five Thousand Eleven

Basics

Value: 75010 → 75011 → 75012

Parity: odd

Prime: Yes

Previous Prime: 74959

Next Prime: 75013

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 75011

Divisors: 1, 75011

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010010100000011

Octal: 222403

Duodecimal: 374AB

Hexadecimal: 12503

Square: 5626650121

Square Root: 273.8813611766964

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

Primes of the form 2·n² + 74·n + 35. A217500

Primes where the first digit equals the sum of all the other digits. A156307

G.f. satisfies A(x) = 1 + x/(1 + x³)² * A(x/(1 + x³)). A360900

Number of binary arrays indicating the locations of trailing edge maxima of a random length-n 0..6 array extended with zeros and convolved with 1,1,1. A222436

Least positive integer k <= n with (2^k + k) * n - 1 prime, or 0 if such a number k does not exist. A231776

Floor[ concatenation of numbers from n to 1 divided by concatenation of numbers from 1 to n]. A75011