9372
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
- 5
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 24192
- Proper Divisor Sum (Aliquot Sum)
- 14820
- 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
- 2800
- Möbius Function
- 0
- Radical
- 4686
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 153
- 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
- Theta series of laminated lattice LAMBDA_11^{max}.at n=4A006911
- a(n) = denominator of Bernoulli(2n)/(2n).at n=34A006953
- a(n) = L(n+1) + c(n) where L(k) = k-th Lucas number and c(n) is n-th number that is 1 or not a Lucas number.at n=17A022802
- Sum of n-th Lucas number greater than 3 and n-th number that is 1 or is not a Fibonacci number.at n=16A023489
- a(n) = b(n) + d(n), where b(n) = (n-th Lucas number > 3) and d(n) = (n-th non-Lucas number).at n=16A023495
- Number of 4-unbalanced strings of length n (=2^n-A027559(n)).at n=14A027561
- Expansion of 1/((1-4x)(1-5x)(1-9x)(1-12x)).at n=3A028126
- Differences between adjacent palindromic primes.at n=19A037010
- Number of 2n-bead balanced binary strings, rotationally equivalent to reverse, complement and reversed complement.at n=18A045656
- Period of the sequence of Bell numbers A000110 (mod n).at n=19A054767
- Denominators from e.g.f. 1/(1-exp(-x)) - 1/x.at n=69A075180
- a(n)=12*sum(1<=i<=j<=k<=n,i*j/k).at n=11A088941
- Triangle T(n,m) = sum_{k=m..n} A001263(k,m).at n=58A104711
- Period of the Lucas 5-step sequence A074048 mod n.at n=39A106297
- Period of the Fibonacci 5-step sequence A001591 mod n.at n=19A106303
- a(1)=1, a(2)=1. a(n) = the sum of the two largest earlier terms which are both coprime to n.at n=54A122457
- Number of 4-way intersections in the interior of a regular 6n-gon.at n=21A137938
- a(n) = A051717(2n) + A051717(2n+1).at n=35A140812
- Number of binary words of length n containing at least one subword 1001 and no subwords 10^{i}1 with i<2.at n=24A143282
- 11 times pentagonal numbers: 11*n*(3n-1)/2.at n=24A153449