Properties of the Number 75259

Seventy-Five Thousand Two Hundred Fifty-Nine

Basics

Value: 75258 → 75259 → 75260

Parity: odd

Prime: No

Previous Prime: 75253

Next Prime: 75269

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 17 × 19 × 233

Divisors: 1, 17, 19, 233, 323, 3961, 4427, 75259

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

603 Try Today's Challenge

Representations

Binary: 10010010111111011

Octal: 222773

Duodecimal: 37677

Hexadecimal: 125fb

Square: 5663917081

Square Root: 274.3337383553106

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

On a spirally numbered square grid, with labels starting at 1, this is the number of steps that a (1,n) leaper makes before getting trapped, or -1 if it never gets trapped. A323469

G.f. A(x) equals the limit of the composition of functions (x+xⁿ) in reverse order; let F₁(x) = x, F_n+1(x) = F_n(x) + F_n(x)ⁿ⁺¹, then A(x) = limit F_n(x): A(x) = ...o x+xⁿ o ... o x+x³ o x+x² o x. A119471

Expansion of q * (ψ(q⁵) / ψ(q))² in powers of q where ψ() is a Ramanujan θ function. A138519

Expansion of q * (ψ(-q⁵) / ψ(-q))² in powers of q where ψ() is a Ramanujan θ function. A210458

Expansion of 1 - q * (ψ(q⁵) / ψ(q))² in powers of q where ψ() is a Ramanujan θ function. A138520

Expansion of 1 + q * (ψ(-q⁵) / ψ(-q))² in powers of q where ψ() is a Ramanujan θ function. A228864

Constant term of the reduction by x²->x+1 of the polynomial p(n,x)=1+xⁿ⁺¹+x²ⁿ. A192474

a(n) = A051193(A072109(n))/A018804(A072109(n)). A71645

Partial sums of the Fermat pseudoprimes to base 2, A001567. A172255

Number of strings of numbers x(i=1..n) in 0..2 with sum i²*x(i)² equal to n²*4. A184233