16866
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 36582
- Proper Divisor Sum (Aliquot Sum)
- 19716
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5616
- Möbius Function
- 0
- Radical
- 5622
- Omega Function (Ω)
- 4
- 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
- 84
- Smith Number
- yes
- 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(n(n-1)(n-2)(n-3)/18).at n=25A011928
- Three-fold exponential convolution of primes with themselves.at n=5A014347
- a(n) = S(n) + c(n) where S(n) = [ (3/2)^n ] and c is the complement of S.at n=23A022808
- Number of ways to label the vertices of the octahedron (or faces of the cube) with nonnegative integers summing to n, where labelings that differ only by rotation or reflection are considered the same.at n=35A097513
- Numbers n such that primorial(n)/2 + 64 is prime.at n=15A139447
- Smith numbers of order 3.at n=3A178213
- Number of nX2 0..3 arrays with values 0..3 introduced in row major order and each element equal to one or two horizontal and vertical neighbors.at n=6A199143
- Number of nX7 0..3 arrays with values 0..3 introduced in row major order and each element equal to one or two horizontal and vertical neighbors.at n=1A199148
- T(n,k)=Number of nXk 0..3 arrays with values 0..3 introduced in row major order and each element equal to one or two horizontal and vertical neighbors.at n=29A199149
- T(n,k)=Number of nXk 0..3 arrays with values 0..3 introduced in row major order and each element equal to one or two horizontal and vertical neighbors.at n=34A199149
- Number of partitions of n with difference -4 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=44A242688
- Number of n X 3 nonnegative integer arrays with upper left 0 and every value within 2 of its king move distance from the upper left and every value increasing by 0 or 1 with every step right, diagonally se or down.at n=22A252831
- Triangle read by rows: T(n,k) = number of neighbors in n-dimensional lattice for generalized neighborhood given with parameter k.at n=42A265014
- Positive even numbers which are neither of the form p + 2^m + 1 nor of the form p + 2^m - 1 with p prime.at n=24A270446
- Numbers that are the sum of seven fourth powers in six or more ways.at n=9A345572
- Numbers that are the sum of seven fourth powers in exactly six ways.at n=8A345828