Properties of the Number 75319

Seventy-Five Thousand Three Hundred Nineteen

Basics

Value: 75318 → 75319 → 75320

Parity: odd

Prime: No

Previous Prime: 75307

Next Prime: 75323

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 109 × 691

Divisors: 1, 109, 691, 75319

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010011000110111

Octal: 223067

Duodecimal: 37707

Hexadecimal: 12637

Square: 5672951761

Square Root: 274.4430724212218

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

Central coefficients of Moebius polynomials (A074586): coefficient of x^n/2-1/2 if n is odd; coefficient of x^n/2-1 if n is even and >4. The n-th Moebius polynomial, M(n,x), satisfies M(n,-1)=μ(n) the Moebius function of n. A77596

Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 75 ones. A31843

p[n_, k_]=Product[(E/(2-E))ⁱ, {i, 1, n}]/Product[(E/(2-E))ⁱ, {i, Floor[n/2^k], n}], a(n) = Sum[Floor[p[n, k]/(8·p[n-1, k])], {k, 1, 8}]. A88663

Triangle read by rows related to double factorial of odd numbers (A001147). A230696

Pair the odd numbers such that the k-th pair is (r, r+2k) where r is the smallest odd number not included earlier: (1,3),(5,9),(7,13),(11,19),(15,25),(17,29),(21,35),(23,39),(27,45),... This is the sequence of the sum of the members of pairs. A75319