Properties of the Number 84001

Eighty-Four Thousand One

Basics

Value: 84000 → 84001 → 84002

Parity: odd

Prime: No

Previous Prime: 83987

Next Prime: 84011

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 167 × 503

Divisors: 1, 167, 503, 84001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100000100001

Octal: 244041

Duodecimal: 40741

Hexadecimal: 14821

Square: 7056168001

Square Root: 289.82926008255276

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) = 1 + n + n*[n/2] + n*[n/2]*[n/3] + n*[n/2]*[n/3]*[n/4] +... where [x]=floor(x). A75885

a(n) = n! * ∑_{k=0..floor(n/4)} (n/4)^k /(k! * (n-4·k)!). A362314

a(n) = 4·a(n-1) - a(n-2) with a(0)=1, a(1)=8. A55845

Numbers n such that A229964(n) = 3. A229966

Numerators of continued fraction convergents to sqrt(108). A41194

7ⁿ mod 4ⁿ. A138654

Multiplicity of highest weight (or singular) vectors associated with character chi₃₄ of Monster module. A34422

Primes arising in A084000. A84001