12199
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 13320
- Proper Divisor Sum (Aliquot Sum)
- 1121
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 11080
- Möbius Function
- 1
- Radical
- 12199
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 156
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 partitions satisfying 0 < cn(1,5) + cn(4,5) + cn(2,5) and 0 < cn(1,5) + cn(4,5) + cn(3,5).at n=34A039902
- Smallest number that is not a sum of at most one power of each of the numbers 1 through n.at n=7A047870
- a(n) is the number of n-tosses having a run of 4 or more heads for a fair coin (i.e., probability is a(n)/2^n).at n=14A050232
- Matrix square of triangle A113340.at n=41A113345
- Number of base 11 circular n-digit numbers with adjacent digits differing by 8 or less.at n=4A125446
- Number of n X n arrays with entries in 1..11 in which adjacent entries differ by 8 or less (adjacent means in x or y directions).at n=2A125545
- Number of ordered unlabeled rooted trees with n nodes such that the minimal outdegree of inner nodes equals 4.at n=16A244533
- Number of orbits of size 2n in vertex graph of Lucas cube Lambda_n.at n=27A250115
- Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n-1) - b(n-2) + 1, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4.at n=17A294422
- Numbers k such that both Sum_{i=1..k} i*prime(i) and Sum_{i=1..k} (k+1-i)*prime(i) are prime.at n=22A356178
- Numbers k such that A361338(k) = 8.at n=44A361347
- Number of integer partitions of n with a unique non-co-mode.at n=43A363129
- Expansion of (1/x) * Series_Reversion( x * (1+x) / (1+x+x^3)^2 ).at n=11A372375