9112
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 18360
- Proper Divisor Sum (Aliquot Sum)
- 9248
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 4224
- Möbius Function
- 0
- Radical
- 2278
- 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
- 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 S denote the palindromes in the language {0,1,2,3}*; a(n) = number of words of length n in the language SS.at n=9A007057
- Convolution of odd numbers and primes.at n=20A023662
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 23.at n=37A031521
- Expansion of (x^3+2*x+1) / ((x-1)^4*(x^2+x+1)^2).at n=47A038391
- (s(n)+1)/10, where s(n)=n-th base 10 palindrome that starts with 9.at n=33A043088
- Numbers having three 4's in base 9.at n=35A043471
- Numbers whose base-3 representation contains exactly one 0 and no 2's.at n=30A044994
- Triangles in open triangular matchstick arrangement (triangle minus one side) of side n.at n=33A045947
- Partial sums of second pentagonal numbers with even index (A049453).at n=16A051895
- Exponents in expansion of rank-2 Artin constant product(1-1/(p^3-p^2), p=prime) as a product zeta(n)^(-a(n)).at n=32A065417
- Least number k such that k has n anti-divisors.at n=22A066464
- Number of fixed points in all 132- and 213-avoiding permutations of {1,2,...,n} (these are permutations with runs consisting of consecutive integers).at n=15A068018
- Main diagonal of array A082224.at n=48A082227
- 4 times hexagonal numbers: a(n) = 4*n*(2*n-1).at n=34A085250
- Number of ways associated with A088959.at n=23A088111
- Numbers k divisible by their abundance sigma(k) - 2*k.at n=47A097498
- Slowest increasing sequence which self-describes its succession of odd and even digits.at n=41A105771
- Connell (5,3)-sum sequence (partial sums of the (5,3)-Connell sequence).at n=63A122795
- G.f.: A(x) = ...o x/(1-x^4) o x/(1-x^3) o x/(1-x^2) o x/(1-x), composition of functions x/(1-x^n) for n = 1,2,3,...at n=10A136751
- Abundant numbers n such that n/(sigma(n)-2n) is an integer.at n=22A153501