Properties of the Number 42001

Forty-Two Thousand One

Basics

Value: 42000 → 42001 → 42002

Parity: odd

Prime: No

Previous Prime: 41999

Next Prime: 42013

Digit Sum: 7

Digital Root: 7

Palindrome: No

Factorization: 97 × 433

Divisors: 1, 97, 433, 42001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010010000010001

Octal: 122021

Duodecimal: 20381

Hexadecimal: a411

Square: 1764084001

Square Root: 204.94145505485218

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

Expansion of e.g.f. exp(x) / (1 - x⁴). A330045

Expansion of e.g.f. exp( x·exp(x³) ). A354553

a(n) = (4·n)! * ∑_k=0..n 1 / (4·k)!. A337727

Expansion of x²/((1-x)*(1+2·x)*(1-6·x)). A91056

a(n) = n! * ∑_{k=0..floor(n/4)} 1 / (4·k)!. A352660

Least positive integer k such that both k and k·n belong to the set {m>0: 2·prime(prime(m))+1 = prime(p) for some prime p}. A261362

E.g.f. satisfies A(x) = exp(x·A(x³)). A367719

Strong pseudoprimes to base 54. A20280

Numbers whose set of base-14 digits is {1,4}. A32826

11-gonal numbers which are products of two distinct primes. A354448