Properties of the Number 4001

Four Thousand One

Basics

Value: 4000 → 4001 → 4002

Parity: odd

Prime: Yes

Previous Prime: 3989

Next Prime: 4003

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 4001

Divisors: 1, 4001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 111110100001

Octal: 7641

Duodecimal: 2395

Hexadecimal: fa1

Square: 16008001

Square Root: 63.25345840347388

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

Initial members of prime triples (p, p+2, p+6). A22004

a(n) = 4·n² - 3·n + 1. A54552

Primes p such that continued fraction of (1 + sqrt(p))/2 has period 15: primes in A146338. A146360

Number of nonempty subsets of {1..n} whose geometric mean is an integer. A326027

Primes that do not contain any other prime as a proper substring. A33274

Initial term in sequence of four consecutive primes separated by 3 consecutive differences each <= 6 (i.e., when d = 2, 4 or 6) and forming pattern = [2, 4, 6]; short notation = [246] d-pattern. A78847

Primes whose base-5 representation also is the base-4 representation of a prime. A235615

Primes congruent to 2 mod 31. A142006

Primes p such that p, p+6, p+12, p+18 are all primes. A23271

Prime numbers congruent to 1 modulo 16 representable by both x² + 32·y² and x² + 64·y². A325067