9111
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12152
- Proper Divisor Sum (Aliquot Sum)
- 3041
- 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
- 6072
- Möbius Function
- 1
- Radical
- 9111
- Omega Function (Ω)
- 2
- 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
- 60
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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 symmetrical planar partitions of n (planar partitions (A000219) that when regarded as 3-D objects have just one symmetry plane).at n=33A000784
- Describe the previous term! (method B - initial term is 9).at n=2A022505
- Numbers with exactly 7 1's in their ternary expansion.at n=35A023698
- 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=35A030283
- Numbers with multiplicative digital root value 9.at n=19A034056
- Multiplicity of highest weight (or singular) vectors associated with character chi_175 of Monster module.at n=38A034563
- Decimal part of a(n)^(1/n) starts with a 'nine digits' anagram.at n=17A035136
- Sums of 7 distinct powers of 3.at n=20A038469
- Numbers having three 1's in base 10.at n=35A043495
- Product of digits of n is a nonzero single-digit square.at n=43A050627
- Numbers k such that k^5 + 2^k is prime.at n=12A075979
- Cycle of the inventory sequence (as in A063850) starting with n consists of prime numbers.at n=25A078970
- Number of fib010 primes (A095087) in range [2^n,2^(n+1)].at n=18A095067
- Lexicographically earliest increasing sequence of composite numbers such that the digits of a(n) do not appear in a(n-1).at n=29A100373
- Near-repunit semiprimes.at n=22A105993
- a(n) = A118443(n)/(n+1), where A118443 is the row sums of triangle A118441.at n=11A118444
- a(n) is the least semiprime > a(n-1) whose digits do not appear in a(n-1).at n=26A131220
- a(n) = 2*a(n-1) - 5*a(n-2), with a(1) = -1, a(2) = -7.at n=10A138749
- Lexicographically earliest increasing sequence of numbers with all odd digits alternating with numbers with all even digits.at n=32A180412
- Expansion of (1-x+19*x^3-3*x^4)/(1-x)^3.at n=35A195241