9552
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 24800
- Proper Divisor Sum (Aliquot Sum)
- 15248
- 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
- 3168
- Möbius Function
- 0
- Radical
- 1194
- Omega Function (Ω)
- 6
- 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
- 29
- 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
- a(n) = floor(Fibonacci(n)/3).at n=23A004696
- a(n) = round(n*phi^11), where phi is the golden ratio, A001622.at n=48A004946
- Expansion of e.g.f. 1/(1 - log(1+x)).at n=10A006252
- Increasing length runs of consecutive composite numbers (starting points).at n=9A008950
- Number of partitions of {1, ..., 2n} into coprime pairs.at n=7A009679
- Number of terms in n-th derivative of a function composed with itself 3 times.at n=18A022811
- a(n) = T(2n-1,n), where T is the array in A026098.at n=45A026102
- Theta series of 6-dimensional perfect lattice P6.6 = A6,1.at n=35A029695
- Smallest start for a run of at least n composite numbers.at n=34A030296
- Smallest start for a run of at least n composite numbers.at n=33A030296
- Smallest of first string of exactly 2n-1 consecutive composite integers.at n=17A045881
- a(n) = Sum{T(n,i): i=0,1,...,n}, where T is given by A048113.at n=17A048114
- (1/2)*Sum{T(n,i): i=0,1,...,n}, where T is given by A048113.at n=15A048115
- a(n) = (F(8n+7)-1)/3, where F=A000045 (the Fibonacci sequence).at n=2A049656
- Number of basis partitions of n+25 with Durfee square size 5.at n=30A053800
- First nonprime in a sequence of consecutive nonprimes which is at least twice as long as any earlier run of consecutive nonprimes in this list.at n=4A056784
- First subsequent, disjoint occurrence of n consecutive nonprimes.at n=31A060064
- Triangle giving numbers of closed plane meanders.at n=33A060972
- Triangle giving numbers of closed plane meanders.at n=30A060972
- Matrix product of Stirling1-triangle A008275(n,k) and unsigned Lah-triangle |A008297(n,k)|.at n=45A079639