5740
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 14112
- Proper Divisor Sum (Aliquot Sum)
- 8372
- 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
- 1920
- Möbius Function
- 0
- Radical
- 2870
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 80
- 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
- Number of polynomials of height n: a(1)=1, a(2)=1, a(3)=4, a(n) = 2*a(n-1) + a(n-2) + 2 for n >= 4.at n=10A005409
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2).at n=39A005993
- a(n) = n*(n+1)*(2*n+1)/3.at n=20A006331
- a(n) = floor(n*(n-1)*(n-2)/12).at n=42A011894
- a(n) = 1*(n) + 2*(n-1) + 3*(n-2) + ... + (n+1-k)*k, where k = floor((n+1)/2).at n=39A023855
- a(n) = 1*(n+1-1) + 2*(n+1-2) + ... + k*(n+1-k), where k = floor((n+1)/2).at n=38A023856
- Theta series of A*_6 lattice.at n=54A023918
- 7 times triangular numbers: 7*n*(n+1)/2.at n=40A024966
- (d(n)-r(n))/5, where d = A026066 and r is the periodic sequence with fundamental period (0,3,1,0,1).at n=43A026068
- Gozinta numbers: possible number of gozinta chains for some positive integer.at n=51A034776
- Base 3 digits are, in order, the first n terms of the periodic sequence with initial period 2,1.at n=7A037488
- Numbers whose maximal base-9 run length is 4.at n=6A037999
- Base-6 palindromes that start with 4.at n=29A043013
- Base-9 palindromes that start with 7.at n=18A043034
- Numbers having four 7's in base 9.at n=0A043484
- Numbers that are repdigits in base 9.at n=31A048334
- Numbers n such that n | sigma_10(n).at n=41A055714
- Numbers k such that k^16 == 1 (mod 17^3).at n=21A056088
- Composite numbers k such that sigma(k)*(phi(k) + 2) is a square.at n=15A065655
- Numbers which can be expressed as the product of a number and its reversal in at least two different ways.at n=2A066531