Properties of the Number 8037

Eight Thousand Thirty-Seven

Basics

Value: 8036 → 8037 → 8038

Parity: odd

Prime: No

Previous Prime: 8017

Next Prime: 8039

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 19 × 47

Divisors: 1, 3, 9, 19, 47, 57, 141, 171, 423, 893

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1111101100101

Octal: 17545

Duodecimal: 4799

Hexadecimal: 1f65

Square: 64593369

Square Root: 89.6493167849036

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

Number of parts in all partitions of n into distinct parts. A15723

Number of partitions of 4n into 4 parts. A238340

a(n) = A033001(n)/4. A43307

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction. A250853

a(n) = (2·n + 1)*(5·n + 1). A33571

T(n,k) = Number of n X k 0..2 arrays with values 0..2 introduced in row major order and each element equal to no more than two horizontal and vertical neighbors. A199655

Smallest positive integer which can be represented as the sum of distinct positive cubes in exactly n ways, or 0 if no such integer exists. A275154

Numbers that are the sum of five third powers in exactly eight ways. A345184

T(n,k)=Number of nXk 0..2 arrays with no element equal to exactly three horizontal or vertical neighbors, with new values 0..2 introduced in row major order. A241114

Odd heptagonal numbers (A000566). A14637