9189
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 13286
- Proper Divisor Sum (Aliquot Sum)
- 4097
- 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
- 6120
- Möbius Function
- 0
- Radical
- 3063
- 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
- 60
- 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
- no
- Odd
- yes
Appears in sequences
- Number of one-sided polyominoes with n cells.at n=10A000988
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 48 ones.at n=31A031816
- Number of 5-ary rooted trees with n nodes and height at most 7.at n=13A036618
- Fourth column of A046741.at n=12A062124
- Composite numbers k such that the sum of the proper divisors of k not including 1, (Chowla's function, A048050) and their product (A007956) are both perfect squares.at n=25A064180
- a(n) = least composite m such that binomial(3m,m) mod m = 3^n.at n=7A109642
- Least k such that k*p(n)#/5-3+j is prime for j=2,4,8.at n=26A111122
- Smallest m such that A116452(m) = n.at n=11A116454
- a(n) = 11*a(n-1) - 9*a(n-2) with a(0)=1, a(1)=9.at n=4A147841
- G.f.: A(x) = exp( Sum_{n>=1} sigma(n)*A000204(n)*x^n/n ).at n=11A156234
- Number of one-sided polyominoes with 2n cells.at n=4A210988
- Smooth Lyndon words with 4 colors.at n=11A215330
- Number of 4 X n 0..1 arrays with diagonals and antidiagonals unimodal and rows nondecreasing.at n=11A223951
- Indices where records occur in A265432.at n=28A272675
- Expansion of Product_{k>=1} (1 + x^k)^(binomial(2*k,k)/(k+1)).at n=9A304787
- Numbers that are the sum of nine fourth powers in seven or more ways.at n=34A345591
- Numbers that are the sum of nine fourth powers in exactly seven ways.at n=24A345849
- Numbers that are the sum of ten fourth powers in exactly eight ways.at n=39A345860
- Number of irreducible pairs of partitions of n.at n=57A376821