16497
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 26880
- Proper Divisor Sum (Aliquot Sum)
- 10383
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 9936
- Möbius Function
- 0
- Radical
- 1833
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 128
- 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
- no
- Odd
- yes
Appears in sequences
- a(n+1) = Sum_{k=0..floor(3*n/4)} a(k) * a(n-k).at n=14A030035
- Numbers whose base-4 representation contains exactly four 0's and three 1's.at n=31A045036
- Number of binary strings of length n with no substrings equal to 0010 or 0101.at n=16A164401
- a(n) = Sum_{k<=n} A007955(k) * A000027(n-k+1) = Sum_{k<=n} A007955(k) * (n-k+1), where A007955(m) = product of divisors of m.at n=16A174934
- Number of Dyck n-paths all of whose ascents and descents have prime lengths.at n=19A210735
- Number of length n+2 0..6 arrays with no three equal elements in a row and new values 0..6 introduced in 0..6 order.at n=6A242469
- Positions of 0's in A330314.at n=10A330325
- T(m,n) is the least k such that the partial sum of the series Sum_{j=0..k} 1/(m*j+1) is > n, read by ascending antidiagonals.at n=23A337748
- Numbers k such that A307437(k) is divisible by 3.at n=28A342037
- a(n) = A379597(n) - A381710(n).at n=44A381711