16436
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 32928
- Proper Divisor Sum (Aliquot Sum)
- 16492
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 7032
- Möbius Function
- 0
- Radical
- 8218
- Omega Function (Ω)
- 4
- 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
- 40
- 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
- Number of compositions (ordered partitions) of n into squares.at n=30A006456
- a(n) = dot_product(n,n-1,...2,1)*(5,6,...,n,1,2,3,4).at n=37A026060
- Number of balanced numbers > 2^(n-1) and <= 2^n.at n=39A078555
- a(n) = n * prime(prime(n)).at n=27A080697
- a(n) = 4*a(n-1)-3*a(n-2) -3*a(n-3) +2*a(n-4) + a(n-5), n>7.at n=11A107381
- Expansion of q^(-1/3) * (eta(q^3) / eta(q))^4 in powers of q.at n=12A128758
- Indices n such that A134204(n) < n.at n=22A133242
- (n-1)-st elementary symmetric function of the first n Catalan numbers (A000108).at n=5A203195
- Numbers that are representable in at least two ways as sums of four distinct nonvanishing cubes.at n=5A259060
- Expansion of ((1 + 2 * Sum_{k>=1} q^(k^2))^16 - 1) / 32.at n=5A302855
- a(n) = n^2 * (n + 1)/2 - Sum_{k=1..n} sigma_2(k).at n=54A309176
- Expansion of (theta_3(x) - 1)^2 / (2 * (3 - theta_3(x))).at n=28A347805
- Expansion of (theta_3(x) - 1)^3 / (4 * (3 - theta_3(x))).at n=27A347806