3111
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 4464
- Proper Divisor Sum (Aliquot Sum)
- 1353
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1920
- Möbius Function
- -1
- Radical
- 3111
- 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
- 35
- 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
- Number of permutations of [n] with exactly 2 increasing runs of length at least 2.at n=3A000363
- Numbers k such that 45*2^k - 1 is prime.at n=43A002242
- Numbers that are the sum of 10 positive 6th powers.at n=41A003366
- Coordination sequence T1 for Zeolite Code ANA.at n=36A008031
- Triangle read by rows: T(n,k) is the number of permutations of [n] with k increasing runs of length at least 2.at n=18A008971
- Pseudoprimes to base 52.at n=15A020180
- Describe the previous term! (method B - initial term is 3).at n=2A022499
- Numbers whose product of digits is prime.at n=37A028842
- a(0) = 0; for n>0, a(n) is the smallest number greater than a(n-1) which does not use any digit used by a(n-1).at n=29A030283
- Lucky numbers with size of gaps equal to 10 (lower terms).at n=36A031892
- "BIJ" (reversible, indistinct, labeled) transform of 2,1,1,1...at n=4A032112
- Numbers whose set of base-6 digits is {2,3}.at n=31A032806
- Numbers having only digits 1 and 3 in their decimal representation.at n=22A032917
- Numbers with multiplicative digital root value 3.at n=9A034050
- Multiplicity of highest weight (or singular) vectors associated with character chi_134 of Monster module.at n=36A034522
- Number of partitions of n such that cn(3,5) < cn(0,5) = cn(1,5) < cn(2,5) = cn(4,5).at n=67A036877
- Numbers whose maximal base-6 run length is 4.at n=19A037987
- Numbers having four 2's in base 6.at n=10A043380
- Numbers having three 1's in base 10.at n=29A043495
- Starting positions of strings of 2 7's in the decimal expansion of Pi.at n=30A050254