Properties of the Number 75536

Seventy-Five Thousand Five Hundred Thirty-Six

Basics

Value: 75535 → 75536 → 75537

Parity: even

Prime: No

Previous Prime: 75533

Next Prime: 75539

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 4721

Divisors: 1, 2, 4, 8, 16, 4721, 9442, 18884, 37768, 75536

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10010011100010000

Octal: 223420

Duodecimal: 37868

Hexadecimal: 12710

Square: 5705687296

Square Root: 274.83813418083014

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

G.f.: q*∏_k>0 (1-q^12k)(1+q^12k-1)(1+q^12k-11)/(1-q^k). A98693

Coefficients of a q-series inspired by Andrews and Ramanujan. A122928

Triangle T(n,m) read by rows: the number of n X m arrays with nonnegative integers, zeros on the border rows/columns and maximum difference one between any entry and its 4 neighbors. A346793

Table a(k,i), read by antidiagonals, in which the n-th row comprises A214206(n) in position 0 followed by a second order recursive series G in which each product G(i)*G(i+1) lies in the same row of A001477 (interpreted as a square array - see below). A182439

a(n) = ((1+(-1)ⁿ)*T(n+1) + (1-(-1)ⁿ)*S(n))/2, where T(n) = tribonacci numbers A000073, S(n) = generalized tribonacci numbers A001644. A75536