Properties of the Number 75109

Seventy-Five Thousand One Hundred Nine

Basics

Value: 75108 → 75109 → 75110

Parity: odd

Prime: Yes

Previous Prime: 75083

Next Prime: 75133

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 75109

Divisors: 1, 75109

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010010101100101

Octal: 222545

Duodecimal: 37571

Hexadecimal: 12565

Square: 5641361881

Square Root: 274.0602123621742

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

First term of strong prime sextets: p(m+1)-p(m) > p(m+2)-p(m+1) > p(m+3)-p(m+2) > p(m+4)-p(m+3) > p(m+5)-p(m+4). A54813

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

G.f.: 1/(1 + x/(1 + x³/(1 + x⁶/(1 + x¹⁰/(1 + x¹⁵/(1 + ... + x^k*(k+1/2)/(1 + ...))))))), a continued fraction. A285484

Odd perfect powers (1 together with numbers m^k, m odd, k >= 2). A75109

Number of nX3 0..2 arrays with every nonzero element less than or equal to at least two horizontal and vertical neighbors. A203455

Number of nX3 0..2 arrays with no element less than a strict majority of its horizontal and vertical neighbors. A231646