16919
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 19344
- Proper Divisor Sum (Aliquot Sum)
- 2425
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 14496
- Möbius Function
- 1
- Radical
- 16919
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 84
- 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
- Numbers k such that A055079(k) = 2^k.at n=36A057838
- Number of permutations satisfying -k <= p(i)-i <= r and p(i)-i not in I, i=1..n, with k=1, r=4, I={1,2}.at n=26A079972
- a(n) = 11 + floor(Sum_{j-1..n-1} a(j)/4).at n=33A120168
- Antidiagonal sums of square array A124389.at n=14A124390
- Numbers k such that either k or k+1 is divisible by the numbers from 1 to 10.at n=25A131663
- G.f. A(x) equals an infinite symmetric composition of functions x/(1-x^n), n=1,2,3,...at n=8A163134
- Diagonal sums of number triangle A184883.at n=13A184884
- Number of 0..6 arrays x(0..n-1) of n elements with nondecreasing average value.at n=6A200762
- Number of 0..n arrays x(0..6) of 7 elements with nondecreasing average value.at n=5A200767
- Number of nX7 0..6 arrays with every row and column running average nondecreasing rightwards and downwards.at n=0A200973
- T(n,k) is the number of n X k 0..6 arrays with every row and column running average nondecreasing rightwards and downwards.at n=21A200974
- T(n,k) is the number of n X k 0..6 arrays with every row and column running average nondecreasing rightwards and downwards.at n=27A200974
- a(n) = Sum_{k=0..n} 2^k * q(k), where q(k) is A000009 (partitions into distinct parts).at n=10A293466