Properties of the Number 75514

Seventy-Five Thousand Five Hundred Fourteen

Basics

Value: 75513 → 75514 → 75515

Parity: even

Prime: No

Previous Prime: 75511

Next Prime: 75521

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 × 17 × 2221

Divisors: 1, 2, 17, 34, 2221, 4442, 37757, 75514

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010011011111010

Octal: 223372

Duodecimal: 3784A

Hexadecimal: 126fa

Square: 5702364196

Square Root: 274.79810770818636

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

1/16 the number of (n+1) X 9 0..3 arrays with all 2 X 2 subblocks having the same four values. A184038

In lunar arithmetic in base 3, this is the number of lunar divisors of the number 111...1 (with n 1's). A186523

Number of ways to write n = x + y (x, y > 0) with 2^x + y prime. A231201

Least positive integer k <= n such that 2^k + (n - k) is prime, or 0 if such an integer k does not exist. A231557

T(n,k) = 1/16 the number of (n+1) X (k+1) 0..3 arrays with all 2 X 2 subblocks having the same four values. A184039

a(0)=1; for n > 0, a(n)=sum(binomial(n,k)*(binomial(n+k,k+1)²)* binomial(n+k,k),k=0..n). A75514