6099
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8640
- Proper Divisor Sum (Aliquot Sum)
- 2541
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3816
- Möbius Function
- -1
- Radical
- 6099
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 124
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of symmetric ways of folding a strip of n labeled stamps.at n=9A000560
- Number of achiral planted trees with n nodes.at n=18A005627
- Number of acyclic disubstituted alkanes with n carbon atoms and distinct substituents.at n=8A005960
- Numbers k such that k concatenated with k+1 is a square.at n=4A030465
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 1 (mod 5).at n=45A035562
- Number of partitions of n such that cn(3,5) < cn(0,5) = cn(1,5) < cn(2,5) = cn(4,5).at n=74A036877
- Base-7 palindromes that start with 2.at n=42A043016
- Numbers whose base-5 representation contains exactly two 3's and three 4's.at n=14A045303
- Recip transform of 2*(1 + x^3 + x^4 + x^5 + x^6)-1/(1-x).at n=8A049170
- Engel expansion of 1 + Sum_{k>=1} 1/k^k.at n=8A063194
- Numbers n such that nextprime(n^3)-prevprime(n^3) = 4.at n=31A090121
- Numbers m not of the form k*(k+2) that have a single '1' in the periodic part of the continued fraction of sqrt(n).at n=27A102538
- Numbers k such that k concatenated with k-8 gives the product of two numbers which differ by 6.at n=10A116106
- Numbers k such that k concatenated with k-3 gives the product of two numbers which differ by 4.at n=7A116136
- Indices k such that 19 plus the k-th triangular number is a perfect square.at n=8A154147
- Number of ways to place zero or more nonadjacent 0,0 1,0 2,0 3,1 3,2 3,3 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155287
- Numbers n such that 15*prime(n)+{-4,-2,2,4} are all primes.at n=20A176002
- Numbers k such that (k^3 - 2, k^3 + 2) is a pair of cousin primes (see A178227).at n=30A178228
- G.f.: x/exp( Sum_{n>=1} a(n)*x^n/n ) = Sum_{n>=1} moebius(n)*x^n.at n=15A195589
- Numbers k such that 17*k+1 is a square.at n=37A219394