9553
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9828
- Proper Divisor Sum (Aliquot Sum)
- 275
- 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
- 9280
- Möbius Function
- 1
- Radical
- 9553
- 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
- 104
- 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
- a(n) = Sum_{k=0..n} ceiling(k^3/n).at n=32A014813
- Convolution of (F(2), F(3), F(4), ...) and A000201.at n=14A023653
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = (1, p(1), p(2), ...).at n=18A024470
- (n - phi(n)) | sigma(n) for composite n not congruent to 2 (mod 4).at n=22A055164
- McKay-Thompson series of class 18e for the Monster group.at n=40A058543
- a(n) = prime(n) * Fibonacci(n).at n=12A064497
- Trisection of A007294.at n=34A073470
- Start of the first run of exactly n consecutive odd composite numbers.at n=16A075067
- Largest proper divisor of the n-th Carmichael number (A002997).at n=19A081703
- Expansion of 2/(1-2x+sqrt(1-4x+4x^3)).at n=9A087626
- McKay-Thompson series of class 36b for the Monster group.at n=40A112173
- a(n) = (n - 2/3)*2^n - n/2 + 3/4 - (-1)^n/12.at n=9A127983
- Numbers k such that continued fraction of (1 + sqrt(k))/2 has period 11.at n=37A146335
- Product of exactly two distinct primes congruent to 1 mod 8 (A007519).at n=30A185377
- a(n) = smallest composite (odd) number greater than a(n-1) such that a(n)+2n is the first prime after a(n).at n=16A189118
- Fundamental discriminants of real quadratic number fields with class number 10.at n=19A218160
- The Wiener index of the graph obtained by applying Mycielski's construction to the cycle graph C(n).at n=34A228320
- a(n) is the smallest number k > 0 such that k, k + 1, ... , k + n - 1 are nonprime numbers, but k + n is prime.at n=34A230358
- Sum of all aliquot divisors of all positive integers <= prime(n).at n=39A244578
- a(n) = A292136(n)^2 + A292137(n)^2.at n=51A292464