9053
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9888
- Proper Divisor Sum (Aliquot Sum)
- 835
- 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
- 8220
- Möbius Function
- 1
- Radical
- 9053
- 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
- 39
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 70.at n=34A020409
- Numerators of continued fraction convergents to sqrt(67).at n=8A041116
- Numerators of continued fraction convergents to sqrt(268).at n=8A041502
- Numbers n such that 151*2^n-1 is prime.at n=5A050617
- Number of partitions of n such that the set of odd parts has only one element.at n=44A090868
- Numbers k such that (2^k - 1) * k! + 1 is prime.at n=20A181185
- The n-th number m such that a nontrivial prime(n)-th root of unity modulo m exists.at n=32A305828
- Number of topologies whose points are a subset of {1..n}.at n=5A326878
- Number of sets of subsets of {1..n} closed under union and intersection and covering all of the vertices.at n=5A326909
- E.g.f.: (exp(1 - exp(x)) - 1)^2 / 2.at n=9A341586
- E.g.f. satisfies A(x) = exp(x*A(x)^3) / (1-x).at n=4A360609