11884
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
- 6
- Divisor Sum
- 20804
- Proper Divisor Sum (Aliquot Sum)
- 8920
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5940
- Möbius Function
- 0
- Radical
- 5942
- Omega Function (Ω)
- 3
- 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
- 50
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = Sum_{k=1..n} floor(k^4/n).at n=14A014819
- Number of partitions of n into parts not of the form 23k, 23k+6 or 23k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=35A035994
- Consider the trajectory of n under the iteration of a map which sends x to 3x - sigma(x) if this is >= 0; otherwise the iteration stops. The sequence gives values of n which eventually reach 0.at n=21A037159
- Number of (n+4)X5 binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock.at n=2A186601
- Number of (n+4)X7 binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock.at n=0A186603
- T(n,k)=Number of (n+4)X(k+4) binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock.at n=3A186609
- T(n,k)=Number of (n+4)X(k+4) binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock.at n=5A186609
- Number of (n+2) X (4+2) 0..3 arrays with every consecutive three elements in every row and diagonal having exactly two distinct values, and in every column and antidiagonal not having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=17A252715
- Number of set partitions of strict integer partitions of n that have distinct block-sums.at n=30A279375
- Number of integer partitions of n containing all of their distinct multiplicities.at n=42A325705
- Numbers k such that lcm(1,2,3,...,k)/23 equals the denominator of the k-th harmonic number H(k).at n=3A342351
- Number of integer partitions of n with parts disjoint from first differences of parts, meaning no part is the difference of two consecutive parts.at n=46A363260
- Number of non-subset-sums of strict integer partitions of n.at n=36A365922