16272
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 30
- Divisor Sum
- 45942
- Proper Divisor Sum (Aliquot Sum)
- 29670
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5376
- Möbius Function
- 0
- Radical
- 678
- Omega Function (Ω)
- 7
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 159
- 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
- Aliquot sequence starting at 1134.at n=8A014365
- Multiplicity of highest weight (or singular) vectors associated with character chi_97 of Monster module.at n=38A034485
- a(1) = 1, then the smallest number such that there are a(n) composite numbers between a(n) and a(n+1) both excluded.at n=11A082280
- Total number of triangles in all the dissections of a convex (n+3)-gon by nonintersecting diagonals.at n=6A089382
- Duplicate of A082280.at n=11A097969
- a(n) = Sum_{k=1..9} a(n-k); a(8) = 1, a(n) = 0 for n < 8.at n=23A104144
- Difference between the n-th partial sum of the squares (A000330) and the n-th partial sum of the primes (A007504).at n=37A108753
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 1, -1), (1, 0, 0), (1, 0, 1)}.at n=9A149863
- If an array is made of columns of -nacci sequences, fibo-, tribo- etc. all starting w. 1,1,2 etc, the NW to SE diagonals can be extended by computation. The above is diagonal 8. See A159741 for details.at n=7A159744
- Number of nX2 1..4 arrays containing at least one of each value, and all equal values connected.at n=4A166757
- Expansion of ((1-x)/(1-2x))^9.at n=6A169796
- a(n) = 6*a(n-1)-8*a(n-2) for n > 1; a(0) = 57, a(1) = 242.at n=4A176635
- Number of nondecreasing arrangements of 7 numbers x(i) in -(n+5)..(n+5) with the sum of sign(x(i))*2^|x(i)| zero.at n=17A187991
- Number of arrangements of n+2 nonzero numbers x(i) in -2..2 with the sum of x(i)*x(i+1) equal to zero.at n=6A188242
- T(n,k)=Number of arrangements of n+2 nonzero numbers x(i) in -k..k with the sum of x(i)*x(i+1) equal to zero.at n=34A188249
- Number of arrangements of 9 nonzero numbers x(i) in -n..n with the sum of x(i)*x(i+1) equal to zero.at n=1A188255
- Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 3.at n=35A209986
- Number of ordered triples (w,x,y) with all terms in {-n, ..., -1, 1, ..., n} and 4w + x + y > 0.at n=16A211629
- Number of length n+5 0..2 arrays with no six consecutive terms having the maximum of any three terms equal to the minimum of the remaining three terms.at n=7A250008
- The number of zeroless decimal numbers whose digital sum is n.at n=15A258800