11949
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 18240
- Proper Divisor Sum (Aliquot Sum)
- 6291
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6816
- Möbius Function
- -1
- Radical
- 11949
- 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
- 50
- 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
- a(n) = a(n-1) + a(n-4) with a(0) = 0, a(1) = a(2) = a(3) = 1.at n=32A003269
- Expansion of (1-x)/(1-x-x^4).at n=35A017898
- Multiplicity of highest weight (or singular) vectors associated with character chi_30 of Monster module.at n=37A034418
- a(n) is its own 4th difference.at n=7A055991
- Number of incongruent ways to tile a 5 X 2n room with 1x2 Tatami mats. At most 3 Tatami mats may meet at a point.at n=38A068930
- Square array read by antidiagonals associated with sections of 1/(1-x-x^k).at n=70A099239
- Sum C(n-3k,k-1), k=0..floor(n/4).at n=34A099561
- An interleaving of three sequences: a(3n) = A000045(3n) = A014445(n). a(3n+1) = A000931(3n+5) = A052921(n). a(3n+2) = A003269(3n-1).at n=32A116585
- a(0)=1. a(n) = a(n-1) + (largest integer occurring among {a(0),a(1),a(2),...,a(n-1)} that is coprime to n).at n=20A120938
- Numbers k such that A119682(k) is prime.at n=42A136682
- Numbers of the form 68+p^2 (where p is a prime).at n=28A138691
- INVERT transform of A027656: (1, 0, 2, 0, 3, 0, 4, 0, 5, ...).at n=15A158943
- Number of (n+1) X 5 binary arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors.at n=12A186457
- Numbers k such that 27*k+1 is a square.at n=42A219258
- Number of (n+1) X (6+1) 0..1 arrays with every 2 X 2 subblock antidiagonal maximum minus diagonal minimum nondecreasing horizontally and diagonal maximum minus antidiagonal minimum nondecreasing vertically.at n=13A253395
- a(n) = A288851(n)/12.at n=1A289396
- a(n+1) = 2*a(n) + A298338(n-1), with a(1) = 1.at n=12A363503
- Number of compositions (ordered partitions) of n into nonprime parts not greater than sqrt(n).at n=31A368873
- Number of compositions (ordered partitions) of n into squares not greater than sqrt(n).at n=31A369342
- Number of distinct sums i^3 + j^3 + k^3 for 0<=i<=j<=k<=n.at n=41A374710