16872
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 45600
- Proper Divisor Sum (Aliquot Sum)
- 28728
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5184
- Möbius Function
- 0
- Radical
- 4218
- Omega Function (Ω)
- 6
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 84
- 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) = 2*binomial(n,3).at n=38A007290
- a(n) = 12*n*(n-1).at n=38A064200
- 1/3 of product of three numbers: the n-th prime, the previous number and the following number.at n=11A127919
- a(n) = 1728*n - 408.at n=9A157266
- Denominator of (n+3) / ((n+2) * (n+1) * n).at n=35A168061
- Denominators of ((n+3)/(n+2)/(n+1)/n) (sorted with no repeats).at n=32A168062
- Monotonic ordering of set S generated by these rules: if x and y are in S then floor(x*y/2) is in S, and 5 is in S.at n=32A192520
- Numerators b(n) of Pythagorean approximations b(n)/a(n) to 1/3.at n=9A195557
- Denominators of Pythagorean approximations to 3.at n=2A195616
- Number of n X 6 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 0 vertically.at n=3A208285
- T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 0 vertically.at n=39A208287
- Number of 4 X n 0..1 arrays avoiding 0 0 0 and 0 0 1 horizontally and 0 0 1 and 1 1 0 vertically.at n=5A208288
- Number of (w,x,y,z) with all terms in {1,...,n} and 2|w-x|=n+|y-z|.at n=37A212686
- Size of the smallest conjugacy class of size greater than 1 of the alternating group of degree n.at n=34A237036
- a(n) = floor(6^n/(3+sqrt(3))^n).at n=41A240735
- Least k such that prime(n) is the smallest prime p for which k^2 + p^2 is also prime, or 0 if none.at n=48A263466
- Number of orbits of Aut(Z^7) as function of the infinity norm n of the representative lattice point of the orbit, when the cardinality of the orbit is equal to 13440.at n=38A266398
- Value of the n-th Roman number interpreted as Latin alphabetic number.at n=29A285511
- Number of nX3 0..1 arrays with every element unequal to 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero.at n=11A305092
- Sum of all the parts in the partitions of n into 10 squarefree parts.at n=37A326627