16928
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 34839
- Proper Divisor Sum (Aliquot Sum)
- 17911
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8096
- Möbius Function
- 0
- Radical
- 46
- Omega Function (Ω)
- 7
- Little Omega Function (ω)
- 2
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
- 35
- 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
- yes
- Achilles Number
- yes
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- yes
- Odd
- no
Appears in sequences
- Molien series for A_10.at n=40A008633
- Number of partitions of n into at most 10 parts.at n=40A008639
- Binomial transform of Thue-Morse sequence A010059.at n=15A019301
- Number of partitions of n in which the greatest part is 10.at n=50A026816
- 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 65.at n=25A031563
- Coordination sequence for lattice D*_92 (with edges defined by l_1 norm = 1).at n=2A035831
- Coordination sequence for diamond structure D^+_92. (Edges defined by l_1 norm = 1.)at n=2A035922
- Number of basis partitions of n+49 with Durfee square size 7.at n=26A053802
- a(n) = 2^n - A056188(n).at n=14A056189
- a(n) = Sum_{k >= 0} 2^k * binomial(k+2,n-2*k).at n=17A061279
- Numbers k such that sigma(k) - 2k is prime.at n=35A064271
- Lesser of two consecutive numbers each divisible by a fourth power.at n=32A068782
- Numbers k such that the k-th difference between 2 successive primes equals the squarefree part of k.at n=29A078691
- Numbers k that divide Lucas(k) + 1.at n=32A094398
- Number of partitions of n into integers not greater than the squarefree kernel of n.at n=39A098715
- Triangle read by rows: T(n,k) is the number of skew Dyck paths of semilength n and having k UUU's (triplerises) (n >= 0; 0 <= k <= n-2 for n >= 2).at n=43A128719
- Numbers n such that n^7 is the sum of a positive fifth power and a square: n^7=x^5+y^2, with repetition.at n=38A175556
- Product of the 5th power of a prime and different distinct prime of the 2nd power (p^5*q^2).at n=11A179646
- Number of 2 X 2 matrices having all terms in {-n,...,0,...,n} and determinant n.at n=33A211140
- Numbers k such that sigma(k) + tau(k) + phi(k) is a prime, where sigma(k) = A000203(k), tau(k) = A000005(k) and phi(k) = A000010(k).at n=12A229265