4488
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 12960
- Proper Divisor Sum (Aliquot Sum)
- 8472
- 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
- 1280
- Möbius Function
- 0
- Radical
- 1122
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 46
- 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
- Expansion of (1+2*x+x^2)/(1-66*x+x^2).at n=2A004298
- Number of walks of length 2n+6 in the path graph P_7 from one end to the other.at n=5A005022
- Coordination sequence T3 for Zeolite Code AFO.at n=44A008017
- Number of vertices of secondary polytope for triangle X n-simplex.at n=2A011555
- a(n) = floor( n*(n-1)*(n-2)/8 ).at n=34A011890
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/32 ).at n=21A011942
- arcsin(arcsin(tan(x)))=x+4/3!*x^3+84/5!*x^5+4488/7!*x^7+458448/9!*x^9...at n=3A012076
- a(n) is the concatenation of n and 2n.at n=43A019550
- a(n) = n*(31*n + 1)/2.at n=17A022289
- Long leg of more than one primitive Pythagorean triangle.at n=38A024410
- a(n) = n*(n + 1)*(3*n + 1).at n=11A027903
- Every run of digits of n in base 16 has length 2.at n=22A033014
- Numbers whose base-16 expansion has no run of digits with length < 2.at n=38A033029
- 8 times triangular numbers: a(n) = 4*n*(n+1).at n=33A033996
- a(n) = floor(n^2/4)*(n/2).at n=33A034828
- Expansion of 1/((1-x)*(1-x^2))^4.at n=11A038164
- Numbers whose base-4 representation has exactly 7 runs.at n=30A043598
- Numbers n such that number of runs in the base 4 representation of n is congruent to 0 mod 7.at n=30A043843
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 8.at n=30A043857
- Numbers n such that number of runs in the base 4 representation of n is congruent to 7 mod 9.at n=30A043865