Properties of the Number 36888

Thirty-Six Thousand Eight Hundred Eighty-Eight

Basics

Value: 36887 → 36888 → 36889

Parity: even

Prime: No

Previous Prime: 36887

Next Prime: 36899

Digit Sum: 33

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 29 × 53

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 29, 53

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001000000011000

Octal: 110030

Duodecimal: 19420

Hexadecimal: 9018

Square: 1360724544

Square Root: 192.062489830784

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

Consider the Diophantine equation x³ + y³ = z³ + 1 (1 < x < y < z) or 'Fermat near misses'. Sequence gives values of z in monotonic increasing order. A50791

Sum of the first n² primes. A109724

Constant term of the reduction of the n-th 2nd-kind Chebyshev polynomial by x² -> x+1. A192235

Subsequence of 'Fermat near misses' which is generated by a simple formula based on the cubic binomial expansion along with formulas for the corresponding terms in the expression, x³ + y³ = z³ + 1. A141326

Nonnegative values·of solutions (x, y) to the Diophantine equation x² + (x+487)² = y². A207076

a(n) = 256·n² + 2·n. A158230

a(n) = 576·n² + 24. A158637

Number of ordered triples (w,x,y) with all terms in {-n, ..., -1, 1, ..., n} and 5w + x + y > 0. A211630

Records in A096335 (values). A221181

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 16. A31694