5440
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 13716
- Proper Divisor Sum (Aliquot Sum)
- 8276
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2048
- Möbius Function
- 0
- Radical
- 170
- 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
- 15
- 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
- Numbers that are the sum of 2 squares but not sum of 3 nonzero squares.at n=47A000549
- Expansion of 1/(1-x)^2/(1-x^2)/(1-x^4)/(1-x^10)/(1-x^20).at n=46A001307
- 4-dimensional pyramidal numbers: a(n) = n^2*(n^2-1)/12.at n=16A002415
- Number of non-degenerate fanout-free Boolean functions of n variables having AND rank 2.at n=3A005756
- Theta series of {D_6}^{+} lattice.at n=39A008434
- Theta series of D*_17 lattice.at n=12A022070
- a(n) = [ a(n-1)/a(1) + a(n-2)/a(2) + ... + a(1)/a(n-1) ], for n >= 3.at n=21A022875
- Number of distinct products ijk with 1 <= i,j,k <= n.at n=43A027425
- Even numbers to the right of the central numbers of the (1,2)-Pascal triangle A029635.at n=48A029643
- Even numbers to the left of the central elements of the (2,1)-Pascal triangle A029653.at n=46A029665
- 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 35.at n=32A031533
- a(n) = (3*n+1)*(4*n+1).at n=21A033577
- Composite numbers n such that juxtaposition of prime factors of n has length 9.at n=41A036333
- Triangle read by rows: T(n,k) (n >= 2, 0 <= k <= n) = number of over-all crude totals of unbranched k-5-catapolyheptagons.at n=39A038195
- Triangle read by rows: T(n,k) (n >= 2, 0 <= k <= n) = number of over-all crude totals of unbranched k-5-catapolyheptagons.at n=29A038195
- Sums of 4 distinct powers of 4.at n=34A038472
- Numbers whose base-4 representation contains exactly three 0's and four 1's.at n=19A045032
- Main diagonal of A048723, a(n) = Xpower(n,n).at n=6A048731
- a(n) = Xpower(n,3).at n=20A048732
- Generalized Stirling number triangle of the first kind.at n=18A051187