4716
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
- 4
Divisibility
- Divisor Count
- 18
- Divisor Sum
- 12012
- Proper Divisor Sum (Aliquot Sum)
- 7296
- 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
- 1560
- Möbius Function
- 0
- Radical
- 786
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 59
- 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
- n-th derivative of x^x at 1, divided by n.at n=9A005168
- Oscillates under partition transform.at n=51A007212
- Coordination sequence T1 for Zeolite Code FER.at n=42A008106
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (composite numbers), t = (primes).at n=18A024604
- Sequence satisfies T^2(a)=a, where T is defined below.at n=51A027595
- 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 34.at n=40A031532
- a(0)=2; a(n) is the smallest k > a(n-1) such that the fractional part of k^(1/10) starts with n.at n=33A034075
- Number of partitions in parts not of the form 7k, 7k+2 or 7k-2. Also number of partitions with 1 part of size 1 and differences between parts at distance 2 are greater than 1.at n=46A035938
- Coordination sequence T6 for Zeolite Code SFF.at n=45A038432
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 2.at n=48A050029
- 19-gonal (or enneadecagonal) numbers: n(17n-15)/2.at n=24A051871
- e-perfect numbers: numbers k such that the sum of the e-divisors (exponential divisors) of k equals 2*k.at n=41A054979
- Number of cyclic subgroups of the group C_n X C_n X C_n (where C_n is the cyclic group of order n).at n=35A064969
- Coordination sequence for octagonal tiling is a(n) + A103908(n)*sqrt(2).at n=28A103909
- Number of partitions of n into an equal number of prime and composite parts.at n=54A116449
- 3*Volume of the root-n Waterman polyhedron as defined in A119870.at n=27A119873
- Expansion of psi(-q^3) / psi(-q)^3 in powers of q where psi() is a Ramanujan theta function.at n=15A132974
- Coefficients of the eighth-order mock theta function V_0(q).at n=50A153176
- Numbers m such that m^2+1 is prime and m^2-7 = prevprime(m^2) (= A007917(m^2)).at n=34A157934
- Nonprimitive e-perfect numbers.at n=38A160134