9167
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 5
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9360
- Proper Divisor Sum (Aliquot Sum)
- 193
- 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
- 8976
- Möbius Function
- 1
- Radical
- 9167
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 91
- 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
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite NON = Nonasil-[ 4158 ] [Si88O176].4R starting with a T2 atom.at n=12A019210
- 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 95.at n=11A031593
- Numerators of continued fraction convergents to sqrt(604).at n=10A042158
- Numbers whose base-4 representation contains exactly two 0's and four 3's.at n=27A045075
- n-th 6k+1 prime times n-th 6k-1 prime.at n=11A048629
- Odd composite numbers which in base 2 contain their largest proper factor as a substring of digits.at n=21A063131
- Composite numbers not divisible by 2, 3, 5 or 7 which in base 2 contain their largest proper factor as a substring.at n=17A063138
- Least composite number not congruent to 0 (modulo the first n primes) which contains its greatest proper divisor as a substring of itself, both in base two.at n=22A077658
- Least composite number not congruent to 0 (modulo the first n primes) which contains its greatest proper divisor as a substring of itself, both in base two.at n=23A077658
- a(n) = prime(n)*prime(n+3).at n=23A090090
- Triangle T(n,k) giving number of (<=2)-covers of an n-set with k blocks.at n=28A094573
- Male of (1/(n+1), n/(1+n)) pair function used to get a dual population Fibonacci.at n=22A100581
- Number of peak-avoiding compositions with positive parts.at n=18A128768
- The number of ordered ways to achieve a score of n in American football.at n=28A160993
- a(n) = 4*n^2 - n - 1.at n=48A185950
- a(n) is the smallest number that is the sum of both 2n-1 and 2n+1 consecutive primes.at n=19A213174
- Numbers n such that phi(n) = phi(n+12) and n is not divisible by 2.at n=23A217141
- S_9 sequence in partition of integers > 1 described in A240521.at n=29A240536
- Numbers m such that there is an integer k with the property that antisigma(m) = k * sigma(m) + k.at n=4A244926
- a(n) = floor(1/(zeta(4) - Sum_{h=1..n} 1/h^4)).at n=13A248230