Properties of the Number 8036

Eight Thousand Thirty-Six

Basics

Value: 8035 → 8036 → 8037

Parity: even

Prime: No

Previous Prime: 8017

Next Prime: 8039

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ² × 7 ² × 41

Divisors: 1, 2, 4, 7, 14, 28, 41, 49, 82, 98

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101100100

Octal: 17544

Duodecimal: 4798

Hexadecimal: 1f64

Square: 64577296

Square Root: 89.64373932405988

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

Numbers k such that sum of the divisors d of k divides 1 + 2 + ... + k = k(k+1)/2. A76617

Sum of largest parts of all compositions of n. A102712

Sum of squares of numbers that cannot be written as t·n + u*(n+1) for nonnegative integers t,u. A76389

Number of compositions of n that are neither strictly increasing nor weakly decreasing. A337482

1/30 of the number of permutations of 5 indistinguishable copies of 1..n with exactly 2 local maxima. A152509

Accumulation array of A185912, by antidiagonals. A185913

The sum of the non-divisors of n (less than n) is a multiple of the sum of the divisors of n. A66860

In triangular peg solitaire, number of distinct feasible pairs starting with one peg missing and finishing with one peg. A130515

A007318 * [1, 1, -1, 1, 1, 1, ...]. A142974

Long legs of primitive Pythagorean triples (a,b,c) for which 2a+1, 2b+1 and 2c+1 are primes. A165237