Properties of the Number 84749

Eighty-Four Thousand Seven Hundred Forty-Nine

Basics

Value: 84748 → 84749 → 84750

Parity: odd

Prime: No

Previous Prime: 84737

Next Prime: 84751

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 7 × 12107

Divisors: 1, 7, 12107, 84749

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10100101100001101

Octal: 245415

Duodecimal: 41065

Hexadecimal: 14b0d

Square: 7182393001

Square Root: 291.1168150416599

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) = 2·a(n-1) - a(n-3) + 2·a(floor(n/2)) + 3·a(floor(n/3)) + ... + n·a(floor(n/n)), where a(0) = 1, a(1) = 2, a(2) = 3. A298409

Total sum of parts of multiplicity 4 in all partitions of n. A222732

E.g.f.: ∑_n>=0 2^n² * W(x)^2ⁿ * xⁿ/n!, where W(x) = LambertW(-x)/(-x). A326086

Numbers m such that m! + p is a prime, where p is the smallest prime > m. A84749