16984
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 34920
- Proper Divisor Sum (Aliquot Sum)
- 17936
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7680
- Möbius Function
- 0
- Radical
- 4246
- Omega Function (Ω)
- 5
- 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
- 35
- 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
- Convoluted convolved Fibonacci numbers G_6^(r).at n=30A089111
- Expansion of x*(x^3+3*x^2-1)*(5*x^4-5*x^2+1) / ( -1+x+8*x^2-7*x^3-21*x^4+15*x^5+20*x^6-10*x^7-5*x^8+x^9 ).at n=20A122604
- Number of binary strings of length n with equal numbers of 01001 and 10110 substrings.at n=15A164261
- a(n) = 3*a(n-1) + a(n-3) with a(0)=1, a(1)=2, a(2)=6.at n=9A183188
- Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any element within a city block distance of two, and containing the value n(n+1)/2-2.at n=18A212039
- Number of partitions of n such that no part is a sum of two other parts.at n=49A236912
- Number T(n,k) of tilings of a 2 X n X n box using k bricks of shape 2 X 1 X 1 and 2*(n^2-k) bricks of shape 1 X 1 X 1; triangle T(n,k), n>=0, 0<=k<=n^2, read by rows.at n=15A287152
- a(n) = 4*(n+1)*(9*n+4).at n=21A304505
- Numbers k such that the k-th composition in standard order is a permutation (of an initial interval).at n=43A333218
- Numbers k such that the k-th composition in standard order is a non-alternating permutation of an initial interval of positive integers.at n=24A350250
- Expansion of e.g.f. 1 / (1 + log(1 - 4*x) / 4).at n=5A352071
- Expansion of Sum_{k>0} (1/(1 - k*x^k)^4 - 1).at n=14A363640