11956
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
- 2
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 24738
- Proper Divisor Sum (Aliquot Sum)
- 12782
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5040
- Möbius Function
- 0
- Radical
- 854
- Omega Function (Ω)
- 5
- 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
- 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
- McKay-Thompson series of class 41A for Monster.at n=49A058670
- Shifts left under antidiagonal sums of the table (A095788) of iterated binomial transforms of this sequence.at n=9A095148
- Table, read by antidiagonals, of iterated binomial transforms of A095148, which also forms the antidiagonal sums shift right.at n=54A095788
- Records in A109734.at n=14A109739
- G.f.: C - Z; where C is the g.f. for the Catalan numbers (A000108) and Z is the g.f. for A055113 with offset 0.at n=10A111160
- Number of Dyck paths such that the sum of the peak-abscissae is n.at n=47A129528
- A128064 * A001263.at n=40A136535
- a(n) = 61*n^2.at n=14A174333
- Fourth accumulation array of A051340, by antidiagonals.at n=49A185876
- Number of partitions of n+7 with largest inscribed rectangle having area <= n.at n=27A218628
- Number n such that the sum of its proper evil divisors (A001969) equals n.at n=19A230587
- Numbers n such that 4n + 1, 4n + 2 and 4n + 3 are not squarefree.at n=26A258332
- The sum of the necessary diagonal movements from each square unit of an n X n+1 rectangle to reach any of the corners of the rectangle.at n=27A279034
- Triangle read by rows: row n gives the h-vector of the n-th halohedron.at n=49A367505
- Triangle read by rows: row n gives the h-vector of the n-th halohedron.at n=50A367505
- Number of integer partitions of n with a repeated part other than the least.at n=35A375405
- Triangle read by rows: T(n,k) is the number of sensed combinatorial maps with n edges and k vertices, 1 <= k <= n + 1.at n=32A380615
- Number of rooted binary perfect phylogenies with sample size n and 4 leaves.at n=46A389571