Properties of the Number 75037

Seventy-Five Thousand Thirty-Seven

Basics

Value: 75036 → 75037 → 75038

Parity: odd

Prime: Yes

Previous Prime: 75029

Next Prime: 75041

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 75037

Divisors: 1, 75037

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010010100011101

Octal: 222435

Duodecimal: 37511

Hexadecimal: 1251d

Square: 5630551369

Square Root: 273.9288228719278

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

Smallest number m such that m#/φ(m#) >= n, where m# indicates the primorial (A034386) of m and φ is Euler's totient function. A91440

Primes p such that p⁴-p³+1 and p⁴-p³-1 are also primes. A238136

a(n) is the least k > 0 such that σ(k!) >= n·k!. A61556

Let a(n) be the n-th term of the sequence. Let m = primorial(a(n)); m is the minimum positive integer such that m/φ(m) >= n. A167348

Convolution of (1,-1,2,-2,3,-3,...) and A000045 (Fibonacci numbers). A213043

Primes of the form p·q - 30, where p and q are consecutive primes. A229613

Number of vertices of type D at level n of the hyperbolic Pascal pyramid PP_4,5. A293065

Primes for which the five closest primes are smaller. A75037