1116
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 2912
- Proper Divisor Sum (Aliquot Sum)
- 1796
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 360
- Möbius Function
- 0
- Radical
- 186
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 44
- 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
- 4th power of rooted tree enumerator: linear forests of 4 rooted trees.at n=6A000300
- Number of compositions of n into 3 ordered relatively prime parts.at n=55A000741
- Describe the previous term! (method A - initial term is 6).at n=2A001143
- Number of 4-line partitions of n (i.e., planar partitions of n with at most 4 lines).at n=12A002799
- Number of bifix-free (or primary, or unbordered) words of length n over a two-letter alphabet.at n=12A003000
- Numbers that are the sum of 10 positive 6th powers.at n=17A003366
- Number of polyaboloes (or polytans): number of different shapes that can be formed with n congruent isosceles right triangles, identifying mirror images.at n=7A006074
- Numbers k such that sigma(x) = k has exactly 3 solutions.at n=29A007372
- a(n) = floor(n*(n+2)*(2*n-1)/8).at n=15A007518
- Positive even numbers that are not the sum of a pair of twin primes.at n=18A007534
- Numbers that are divisible by the product of their digits.at n=38A007602
- Coordination sequence T1 for Zeolite Code ABW and ATN.at n=23A008000
- Coordination sequence T5 for Zeolite Code HEU.at n=22A008120
- Coordination sequence T4 for Zeolite Code MEI.at n=24A008149
- Coordination sequence T12 for Zeolite Code MFI.at n=21A008164
- Coordination sequence T7 for Zeolite Code MFI.at n=21A008170
- Molien series for alternating group Alt_12 (or A_12).at n=23A008635
- Number of partitions of n into at most 12 parts.at n=23A008641
- Theta series of direct sum of 2 copies of hexagonal lattice.at n=50A008653
- Number of SiC polytypes that repeat after 2n layers.at n=24A011959