5720
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 9400
- 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
- 1430
- Omega Function (Ω)
- 6
- 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
- 28
- 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 nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation.at n=38A003451
- Degrees of irreducible representations of alternating group A_13.at n=34A003868
- Degrees of irreducible representations of symmetric group S_13.at n=61A003877
- Degrees of irreducible representations of symmetric group S_13.at n=62A003877
- 12-gonal (or dodecagonal) pyramidal numbers: a(n) = n*(n+1)*(10*n-7)/6.at n=15A007587
- a(1)=1; for n >= 1, a(n+1) = lcm(a(n),n) / gcd(a(n),n).at n=16A008339
- Even octagonal numbers: a(n) = 4*n*(3*n-1).at n=22A014642
- Numbers k such that sigma(k) = sigma(k+4).at n=10A015863
- Alkane (or paraffin) numbers l(10,n).at n=9A018211
- Alkane (or paraffin) numbers l(12,n).at n=7A018213
- Perimeters of more than one primitive Pythagorean triangle.at n=7A024408
- a(n) = (prime(n+2)^2 - 1)/3.at n=29A024700
- Number of 5-unbalanced strings of length n (=2^n-A027560(n)).at n=14A027562
- Number of reversible strings with n-1 beads of 2 colors. 7 beads are black. String is not palindromic.at n=8A032094
- Numbers that, when expressed in base 4 and then interpreted in base 10, yield a multiple of the original number.at n=26A032540
- Numbers each of whose runs of digits in base 12 has length 2.at n=40A033010
- Numbers n such that 77*2^n-1 is prime.at n=16A050564
- (Terms in A014476)/2.at n=24A051497
- One half of binomial coefficients binomial(2*n-8,9).at n=3A053133
- a(n) = a(n-1) + a(n - 1 minus the number of terms of a(k) == (mod 5) so far).at n=24A060732