9136
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 17732
- Proper Divisor Sum (Aliquot Sum)
- 8596
- 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
- 4560
- Möbius Function
- 0
- Radical
- 1142
- Omega Function (Ω)
- 5
- 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
- 34
- 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
- Numbers that are the sum of 11 positive 7th powers.at n=45A003378
- Representation degeneracies for Ramond strings.at n=17A005304
- a(n) = 1 + n/2 + 9*n^2/2.at n=45A006137
- Aliquot sequence starting at 660.at n=21A014362
- Numbers k such that the continued fraction for sqrt(k) has period 92.at n=18A020431
- Number of n-move rook paths on 8 X 8 board from given corner to adjacent corner.at n=5A025609
- a(n+2) = 2*a(n+1) + 2*a(n); a(0) = 1, a(1) = 3.at n=9A028859
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 46 ones.at n=34A031814
- Gaps of 8 in sequence A038593 (upper terms).at n=8A038656
- Numbers ending with '6' that are the difference of two positive cubes.at n=34A038861
- Centered 21-gonal numbers.at n=29A069178
- a(n) = n*a(n-1)+4*a(n-2)-4*(n-2)*a(n-3).at n=7A080252
- a(n)*a(n+3) - a(n+1)*a(n+2) = 2^n, given a(0)=1, a(1)=3, a(2)=7.at n=9A080882
- Triangle read by rows: T(n,k) is the number of Motzkin paths of length n with k valleys (n>=0, 0<=k<=floor(n/2)-1; a valley is a downstep followed by an upstep).at n=40A097885
- Binomial transform of A101910, where A101910(n) = a(A000120(n-1)) for n>0 with A101910(0) = 1.at n=11A101911
- Array read by antidiagonals, generated by the matrix M = [1,1,1;1,N,1;1,1,1].at n=54A103279
- Leftmost node in rows of the power tree A114622.at n=17A114625
- Triangle read by rows: T(n,k) is the number of ternary sequences of length n containing k subsequences 00 (n>=0, 0<=k<=max(0,n-1)).at n=37A118357
- Triangle read by rows :T(n,k)=Sum_{j, j>=0}A089942(n,j)*binomial(j,k).at n=48A127501
- Triangle read by rows: T(n,k) = the number of Dyck paths of semilength n with k DUUU's.at n=20A135308