16147
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 16456
- Proper Divisor Sum (Aliquot Sum)
- 309
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 15840
- Möbius Function
- 1
- Radical
- 16147
- Omega Function (Ω)
- 2
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 97
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Number of 5-tuples of different integers from [ 2,n ] with no common factors among triples.at n=23A015649
- a(n) = A026626(2*n, n-1).at n=7A026628
- Multiplicity of highest weight (or singular) vectors associated with character chi_96 of Monster module.at n=44A034484
- Odd composite numbers which in base 2 contain their largest proper factor as a substring of digits.at n=28A063131
- Composite numbers not divisible by 2, 3, 5 or 7 which in base 2 contain their largest proper factor as a substring.at n=23A063138
- Composite numbers not divisible by 2 which in base 4 contain their largest proper factor as a substring.at n=7A063145
- 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, 0), (-1, 1, 0), (0, 0, 1), (0, 1, 1), (1, 0, -1)}.at n=8A150104
- Partial sums of A007694.at n=39A174030
- The Wiener index of the straight pentachain of n pentagonal rings (see Fig. 2.1 in the A. A. Ali et al. reference).at n=18A224459
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 169", based on the 5-celled von Neumann neighborhood.at n=29A270463
- Numbers whose periodic derivative is equal to the arithmetic derivative.at n=12A274063
- Number of partitions of n into a squarefree number of parts.at n=38A286141
- Number of transitive rooted trees with n nodes.at n=22A290689
- a(n) is the number of regions formed by n-secting the angles of a nonagon (enneagon).at n=30A335781
- Values of the argument at successive record minima of the function R defined as follows. For any integer x >= 1, let y > x be the smallest integer such that there exist integers x < c < d < y such that x^3 + y^3 = c^3 + d^3. Then R(x) = y/x.at n=19A360427
- a(n) = (21*n^2 + 9*n + 2)/2.at n=39A381109