16017
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 22560
- Proper Divisor Sum (Aliquot Sum)
- 6543
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 10080
- Möbius Function
- -1
- Radical
- 16017
- Omega Function (Ω)
- 3
- 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
- 45
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- a(n) = round(n*phi^14), where phi is the golden ratio, A001622.at n=19A004949
- a(n) = ceiling(n*phi^14), where phi is the golden ratio, A001622.at n=19A004969
- Pseudoprimes to base 77.at n=41A020205
- a(n) = (2*n+1)*(10*n+1).at n=28A033574
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n and height k (1 <= k <= n).at n=59A080936
- Number of nondecreasing arrangements of n+3 numbers in 0..3 with each number being the sum mod 4 of three others.at n=40A183898
- Number of arrangements of 4 numbers x(i) in -n..n with the sum of x(i)*x(i+1) equal to zero.at n=19A188359
- Numbers k such that 9^k + 10 is prime.at n=20A217492
- a(n) = A260351(n) - A023811(n), where A260351 is the limit of the orbit of 0 under x -> x + (largest digit not in x) and A023811 is the largest metadrome, both in base n.at n=18A260371
- Expansion of Product_{k>=1} 1/(1+x^k)^(k^2) in powers of x.at n=17A284896
- Number of Dyck paths of semilength n and height exactly 5.at n=6A289418