17928
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 50400
- Proper Divisor Sum (Aliquot Sum)
- 32472
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5904
- Möbius Function
- 0
- Radical
- 498
- Omega Function (Ω)
- 7
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 48
- 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
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = (1, p(1), p(2), ...).at n=20A024470
- Numbers that are the sum of 3 positive cubes in exactly 3 ways.at n=7A025397
- Numbers that are the sum of 3 positive cubes in 3 or more ways.at n=8A025398
- Numbers that are the sum of 3 distinct positive cubes in exactly 3 ways.at n=6A025401
- Numbers that are the sum of 3 distinct positive cubes in 3 or more ways.at n=7A025402
- Perfectly partitioned numbers: numbers k that divide the number of partitions p(k).at n=13A051177
- Number of points in N^n of norm <= 2.at n=26A055417
- Difference between average of smallest prime greater than n^3 and largest prime less than (n+1)^3 and n-th pronic [=n(n+1)].at n=24A063036
- Subdiagonal of array of n-gonal numbers A081422.at n=26A081423
- Numbers with at least two 3s in their prime signature.at n=43A109399
- Series expansion for mean-squared radius of gyration of rectangles on square lattice.at n=8A121782
- Number of 3 X 3 semimagic squares with distinct positive values and magic sum n.at n=14A173547
- Numbers of the form p^3*q^3*r where p, q, and r are prime.at n=28A179688
- Triangle T(n,k) for solving differential equation A'(x)=G(A(x)), G(0)!=0.at n=39A190015
- G.f. satisfies: A(x) = Product_{n>=1} (1 + x^n*A(x))^2/(1 - x^n*A(x))^2.at n=5A192620
- Number of (w,x,y,z) with all terms in {1,...,n} and w>=2x and y<=3z.at n=17A212521
- Numbers that can be expressed as the sum of three nonnegative cubes in three ways.at n=11A219329
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 566", based on the 5-celled von Neumann neighborhood.at n=35A272989
- Expansion of Product_{n>=1} (1 - x^(4*n))/(1 - x^n)^4 in powers of x.at n=11A274327
- Numbers k such that 3*10^k + 13 is prime.at n=16A290473