Properties of the Number 75133

Seventy-Five Thousand One Hundred Thirty-Three

Basics

Value: 75132 → 75133 → 75134

Parity: odd

Prime: Yes

Previous Prime: 75109

Next Prime: 75149

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 75133

Divisors: 1, 75133

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010010101111101

Octal: 222575

Duodecimal: 37591

Hexadecimal: 1257d

Square: 5644967689

Square Root: 274.10399486326355

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

Number of integer partitions of n whose augmented differences are an aperiodic word. A329136

Numbers n such that the numbers of divisors of n,n+1,n+2 and n+3 are k,2k,4k,8k respectively for some k. A100364

Second term p(m) of strong prime sextets: p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3). A54814

Third term of strong prime sextets: p(m-1)-p(m-2) > p(m)-p(m-1) > p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2). A54815

Primes p such that 6p - 1 and 6p + 1 are twin primes and ((6p-1)² + (6p+1)²) / 10 is prime. A283957

Indices of double-safe primes: p=prime(n) is double-safe: q=(p-1)/2 & r=(q-1)/2 are both prime (and q is safe). A75133