9114
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 21888
- Proper Divisor Sum (Aliquot Sum)
- 12774
- 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
- 2520
- Möbius Function
- 0
- Radical
- 1302
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Odd
- no
Appears in sequences
- Let sigma_m (n) be result of applying sum-of-divisors function m times to n; call n (m,k)-perfect if sigma_m (n) = k*n; sequence gives the (3,k)-perfect numbers.at n=18A019292
- Numbers whose base-6 representation is the juxtaposition of two identical strings.at n=41A020334
- a(n) = n*(19*n - 1)/2.at n=31A022276
- a(n) = dot_product(1,2,...,n)*(4,5,...,n,1,2,3).at n=27A026040
- Expansion of 1/((1-5x)(1-6x)(1-7x)(1-12x)).at n=3A028169
- Numbers in which all pairs of consecutive base-5 digits differ by 2.at n=41A033083
- Base-6 digits are, in order, the first n terms of the periodic sequence with initial period 1,1,0.at n=5A033133
- Sums of 4 distinct powers of 6.at n=11A038480
- Numbers whose base-5 representation contains exactly three 2's and three 4's.at n=5A045292
- Numbers k such that 297*2^k-1 is prime.at n=35A050907
- Numbers k such that sigma(k+1) divides sigma(k), where sigma(k) is the sum of positive divisors of k.at n=20A058073
- Numbers k such that sigma(x) = k has exactly 6 solutions.at n=40A060662
- Numbers k such that gcd(sigma(k), sigma(k+1)) > k.at n=29A066025
- Product of sums of divisors and non-divisors.at n=24A066859
- Multiples of 7 in which there is no common digit in successive terms.at n=23A083495
- Multiples of 14 containing a 14 in their decimal representation.at n=27A121034
- Numbers k for which 14*k+1, 14*k+5, 14*k+11 and 14*k+13 are primes.at n=29A123987
- A vector recursion sequence: k = -3; m = 3; l = -3; a(n)=k*{0,a(n-2),0}+m*{-(m-1)/m,a(n-1)}++m*{a(n-1),-(m-1)/m}+l*{0,0,a(n-4),0,0}.at n=42A152655
- A vector recursion sequence: k = -3; m = 3; l = -3; a(n)=k*{0,a(n-2),0}+m*{-(m-1)/m,a(n-1)}++m*{a(n-1),-(m-1)/m}+l*{0,0,a(n-4),0,0}.at n=38A152655
- Numbers k such that sigma(k) = 2*sigma(k+1).at n=10A163193