4527
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
- 6
- Divisor Sum
- 6552
- Proper Divisor Sum (Aliquot Sum)
- 2025
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3012
- Möbius Function
- 0
- Radical
- 1509
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- no
- Narcissistic Number
- no
- Collatz Steps
- 38
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T6 for Zeolite Code MTW.at n=44A008201
- f-vectors for simplicial complexes of dimension at most 1 (graphs) on at most n-1 vertices.at n=30A011826
- Super-3 Numbers (3n^3 contains substring '333' in its decimal expansion).at n=38A014569
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (odd natural numbers), t = A000201 (lower Wythoff sequence).at n=24A024599
- Coordination sequence T2 for Zeolite Code AEN.at n=42A047951
- Number of factorizations with 2 levels of parentheses indexed by prime signatures. A050338(A025487).at n=27A050339
- Larger members of g-reduced amicable pairs a < b such that sigma(a) = sigma(b) = a + b + gcd(a,b).at n=17A054572
- Euler transform applied three times to partition triangle A008284.at n=43A055886
- Composite numbers whose sum of aliquot divisors as well as product of aliquot divisors is a perfect square.at n=42A064116
- Nonprime numbers n such that the sum of aliquot divisors of n (A001065) and product of aliquot divisors of n (A048741) are both perfect squares.at n=43A064121
- Numbers whose decimal representations consist of nested and /or concatenated ordered pairs 0-9, 1-8, 2-7, 3-6 and 4-5.at n=41A065751
- Diagonal of triangular spiral in A051682.at n=31A081268
- Number of monomial terms in expansion of n-th coefficient of replicable function as a polynomial in [c1, c2, c3, c4, c5, c7, c8, c9, c11, c17, c19, c23].at n=40A112331
- Numbers k such that k and 7*k, taken together, are zeroless pandigital.at n=2A115931
- Expansion of f(-x^4, -x^16) / psi(-x) in powers of x where psi() is a Ramanujan theta function and f(, ) is Ramanujan's general theta function.at n=46A122130
- Arithmetic mean of two consecutive balanced primes (of order one).at n=35A126554
- First differences of antidiagonal sums of triangular array T: T(j,k) = k*(j-k)! for k < j, T(j,k) = 1 for k = j; 1 <= k <= j.at n=6A130471
- Exactly 10 consecutive odd integers starting with n are composite.at n=18A162023
- G.f.: (1+x)^(2*g)*(1+x^3)^(3*g)/((1-x^2)*(1-x^4))-x^(2*g)*(1+x)^4/((1-x^2)*(1-x^4)) for g=2.at n=44A199628
- Triangle read by rows. T(n, k) = coefficient of x^n in the Taylor expansion of [((1 - x - 2*x^2 - sqrt(1 - 2*x - 3*x^2))/(2*x^2))]^k.at n=49A202710