Properties of the Number 8001

Eight Thousand One

Basics

Value: 8000 → 8001 → 8002

Parity: odd

Prime: No

Previous Prime: 7993

Next Prime: 8009

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 127

Divisors: 1, 3, 7, 9, 21, 63, 127, 381, 889, 1143

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101000001

Octal: 17501

Duodecimal: 4769

Hexadecimal: 1f41

Square: 64016001

Square Root: 89.44830909525345

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

a(n) = n³ + 1. A1093

The non-repetitive Kaprekar binary numbers in decimal. A163205

a(n) = p*(p-1)/2 for p = prime(n). A8837

Numbers k such that k divides 4^k - 1. A14945

Number of integer partitions of n containing their multiset of multiplicities (as a submultiset). A325702

Numbers k such that k | 5^k + 1. A15951

Staggered diagonal of triangular spiral in A051682. A81266

Number of holes in a sheet of paper when you fold it n times and cut off the four corners. A274230

Numbers m such that there are precisely 19 groups of order m. A298910

a(n) = (2·n-1)*(4·n-1). A33567