5724
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 9396
- 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
- 1872
- Möbius Function
- 0
- Radical
- 318
- Omega Function (Ω)
- 6
- 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
- yes
- Harshad Number
- yes
- 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 trees in an n-node wheel.at n=19A002985
- High temperature series for spherical model internal energy on 3-dimensional simple cubic lattice.at n=5A003496
- a(n) = floor( n*(n-1)*(n-2)/26 ).at n=54A011908
- Numbers whose set of base-11 digits is {3,4}.at n=23A032835
- Numbers n such that 137*2^n-1 is prime.at n=9A050594
- Numbers n such that n | sigma_13(n).at n=17A055717
- a(n) = |{m : multiplicative order of 10 mod m is equal to n}|.at n=39A059892
- Numbers k such that sigma(k) = 2*usigma(k).at n=15A063880
- Numbers having exactly eight anti-divisors.at n=42A066474
- Least common multiple of prime(n+1)-1 and prime(n)-1.at n=27A083554
- a(n) = lcm(p-1, p+1) where p is the n-th prime.at n=27A084921
- 4 times hexagonal numbers: a(n) = 4*n*(2*n-1).at n=27A085250
- Least even leg of primitive Pythagorean triangles with odd leg 2n+1.at n=52A088557
- Number of interior intersection points made by the straight line segments connecting the edges of an equilateral triangle with the n-1 points resulting from a subdivision of the sides into n equal pieces, counting coinciding intersection points only once.at n=44A091908
- Triangle read by rows in which row n gives coefficients of polynomial R_n(y) that satisfies R_n(1/3) = 9^n, where R_n(y) forms the initial (n+1) terms of g.f. A097191(y)^(n+1).at n=38A097190
- Inverse Euler transform of A000960.at n=22A099066
- Number of points of self-intersection of the path of a billiard ball traveling at a 45-degree angle on a prime(n) X prime(n+1) billiard table. Also equal to 1/2 the number of the lattice points lying within a prime(n) X prime(n+1) rectangle.at n=27A099407
- An Alexander sequence for the knot 9_44.at n=13A099458
- a(n) = 26*a(n-2) - a(n-4) + 12, with a(0) = 0, a(1) = 4, a(2) = 8, a(3) = 116.at n=6A105036
- Integers k such that 10^k - 33 is prime.at n=23A108364