16952
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 23
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 34440
- Proper Divisor Sum (Aliquot Sum)
- 17488
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7776
- Möbius Function
- 0
- Radical
- 4238
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 84
- 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
- Erroneous version of A002572.at n=19A001180
- Number of partitions of 1 into n powers of 1/2; or (according to one definition of "binary") the number of binary rooted trees.at n=19A002572
- a(n) = B(n)*P(n), where B(n) are Bell numbers (A000110) and P(n) are numbers of arrangements of a set of n elements (A000522).at n=5A064312
- Subminimal numbers, from minimal numbers by analogy with subfactorials.at n=51A079717
- Number of diagonal rectangles with corners on an n X n grid of points.at n=16A113751
- a(n) = 25*n^2 + 2*n.at n=25A154377
- First differences of A161340.at n=15A161341
- a(n) = (9*n^4+10*n^3-3*n^2-4*n)/12.at n=12A172045
- Irregular triangle read by rows: T(n,k) is the number of permutations in S_n having k stretching pairs.at n=52A216120
- Number of (n+2)X(7+2) 0..3 arrays with every consecutive three elements in every row and column not having exactly two distinct values, and in every diagonal and antidiagonal having exactly two distinct values, and new values 0 upwards introduced in row major order.at n=17A253024
- Numbers k such that k^2*2^k + 3 is prime.at n=21A259298
- Numbers x such that x = Sum_{j=0..k}{d(x)^j}, for some k, where d(x) is the number of divisors of x.at n=42A263821
- Number of permutations on [n+2] with no circular 2-successions.at n=5A284843
- G.f.: Product_{m>0} (1 + x^m + 2!*x^(2*m) + 3!*x^(3*m)).at n=28A289485