16065
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 34560
- Proper Divisor Sum (Aliquot Sum)
- 18495
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6912
- Möbius Function
- 0
- Radical
- 1785
- Omega Function (Ω)
- 6
- Little Omega Function (ω)
- 4
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
- 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
- Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m).at n=34A005231
- Number of 4-connected polyhedral graphs with n faces.at n=14A007026
- exp(arcsinh(x)-log(x+1)) = 1+1/2!*x^2-3/3!*x^3+9/4!*x^4-45/5!*x^5...at n=8A013492
- Triangle of numbers arising from analysis of Levine's sequence A011784.at n=52A014621
- Expansion of e.g.f. theta_3^(3/2).at n=8A015665
- Odd integers m such that phi(m) | sigma(m).at n=13A015715
- A convolution triangle of numbers obtained from A036068.at n=51A030524
- Partition numbers rounded to nearest integer given by the Hardy-Ramanujan approximate formula.at n=34A050811
- Numbers n such that sigma(n)/phi(n) is prime.at n=28A067780
- Numbers k such that the sum over the prime divisors of k equals the number of divisors of k.at n=40A069234
- Numbers k such that phi(k) = Sum_{d|k} core(d) where core(x) is the squarefree part of x (A007913).at n=12A074786
- Numbers k such that both k and 2*k are balanced numbers (A020492).at n=22A076375
- Row 8 of array in A288580.at n=17A092973
- Solutions to A096509[x]=6; number of prime-powers [including primes] in the neighborhood of x with Ceiling[Log[x]] radius equals 6.at n=11A096517
- Expansion of (1 - x - 4*x^2)/(1 - 2*x - 7*x^2 + 8*x^3).at n=9A100305
- a(n) = binomial(n+2,2)*binomial(n+5,2).at n=13A105938
- sigma(n) + n is a square.at n=31A114069
- sigma(n) + n is a fourth power.at n=2A114071
- Sum sequence A000522 then subtract 0,1,2,3,4,5,...at n=7A121726
- Odd infinitary abundant numbers.at n=4A127666