9816
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 24600
- Proper Divisor Sum (Aliquot Sum)
- 14784
- 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
- 3264
- Möbius Function
- 0
- Radical
- 2454
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 135
- 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(exp(2/3)*n!).at n=6A030976
- Number of n-node rooted trees of height at most 6.at n=13A034823
- A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of six simple musical tones: 8/7 5/4 4/3 3/2 8/5 7/4.at n=38A060526
- Total number of parts in all partitions of n into odd parts.at n=38A067588
- Sum of n-th row of triangle in A082196.at n=23A082199
- Numbers k such that k^2 + 11 and k^2 + 13 are primes.at n=41A113537
- Smaller side not divisible by 37 of right triangles with integer sides and integer side inscribed squares with two vertices on the hypotenuse.at n=11A123697
- Number of meaningful differential operations of the n-th order on the space R^(2+n).at n=10A127935
- Numbers k such that the fractional part of (1024/1000)^k is greater than 1-(1/k).at n=10A153680
- Half the number of nX3 binary arrays with no element equal to a strict majority of its knight-move neighbors.at n=7A183394
- T(n,k)=Half the number of nXk binary arrays with no element equal to a strict majority of its knight-move neighbors.at n=47A183397
- T(n,k)=Half the number of nXk binary arrays with no element equal to a strict majority of its knight-move neighbors.at n=52A183397
- G.f.: 1/(1-x) = Sum_{n>=0} a(n)*x^n*Product_{k=1..n+1} (1-x^k).at n=26A209405
- Number of (w,x,y,z) with all terms in {0,...,n} and (least gapsize)=2.at n=14A212895
- Expansion of e.g.f.: sqrt( -LambertW(x)*LambertW(-x)/x^2 ).at n=6A215880
- Trisection of A107926: The least number k such that there are primes p and q with p - q = 6*n+2, p + q = k, and p the least such prime >= k/2.at n=30A234955
- Number of (n+1) X (3+1) 0..2 arrays colored with the upper median value of each 2 X 2 subblock.at n=8A235949
- Numbers k such that 6^k - 5^k - 4^k - 3^k - 2^k - 1 is prime.at n=10A240507
- Least positive integer k such that prime(k)-k, prime(k)+k, prime(k*n)-k*n, prime(k*n)+k*n, prime(k)+k*n and prime(k*n)+k are all prime.at n=14A259492
- Sum of squared distances from origin to ends of all n-step spiral self-avoiding walks on simple cubic lattice.at n=5A260344