16192
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 36576
- Proper Divisor Sum (Aliquot Sum)
- 20384
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7040
- Möbius Function
- 0
- Radical
- 506
- Omega Function (Ω)
- 8
- 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
- 115
- Smith Number
- yes
- 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 ways of writing n as a sum of 24 squares.at n=3A000156
- 11-gonal (or hendecagonal) pyramidal numbers: a(n) = n*(n+1)*(3*n-2)/2.at n=22A007586
- Theta series of D*_24 lattice.at n=3A022077
- Number of terms in 5th derivative of a function composed with itself n times.at n=21A022815
- Even 10-gonal (or decagonal) numbers.at n=32A028994
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 63.at n=31A031561
- "DHK[ 5 ]" (bracelet, identity, unlabeled, 5 parts) transform of 1,1,1,1,...at n=39A032246
- Number of points of l_1 norm n in the "diamond" lattice D^+_4.at n=23A035878
- Denominators of continued fraction convergents to sqrt(547).at n=10A042047
- A049031/2.at n=30A049032
- a(0)=1; a(n) = Sum_{j<n, gcd(n,a(j)) = 1} a(j).at n=29A055935
- Numbers k such that 7*2^k - 3 is prime.at n=34A058593
- Numbers n such that { x +- 2^k : 0 < k < 4 } are primes, where x = 210*n - 105.at n=10A061671
- a(n) = 4*n^4 - 3*n^2.at n=7A079414
- Row sums in A083167.at n=22A083170
- Second column (k=3) of array A091534 ((5,2)-Stirling2) divided by 10.at n=2A091539
- Pierce expansion of log(2).at n=14A091846
- a(n) = n^2*(n^3-n+2)/2.at n=8A101377
- a(n) = Sum_{k=0..n} 2^max(k, n-k).at n=12A107659
- Expansion of (1+2*x-4*x^2)/((2*x+1)*(2*x-1)*(4*x^2+4*x-1)).at n=6A110047