4224
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- yes
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 12240
- Proper Divisor Sum (Aliquot Sum)
- 8016
- 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
- 66
- Omega Function (Ω)
- 9
- 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
- 33
- 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
- Numbers that are the sum of 3 nonzero 6th powers.at n=12A003359
- a(n) = 2^n * C(n+1), where C(n) = A000108(n) Catalan numbers.at n=5A003645
- Numbers that are the sum of at most 3 nonzero 6th powers.at n=25A004854
- Numbers that are the sum of at most 4 nonzero 6th powers.at n=42A004855
- Quadrinomial coefficients.at n=10A005719
- a(n) = Sum_{k=1..n-1} lcm(k,n-k).at n=33A006580
- Coordination sequence T1 for Zeolite Code YUG.at n=42A008247
- Theta series of {D_6}* lattice.at n=23A008425
- Theta series of direct sum of 2 copies of b.c.c. lattice.at n=46A008665
- Coordination sequence T4 for Zeolite Code iRON.at n=46A009884
- Droll numbers: numbers > 1 whose sum of even prime factors equals the sum of odd prime factors.at n=5A019507
- Numbers that are the sum of 4 nonzero squares in exactly 3 ways.at n=47A025359
- a(n) = number of (s(0), s(1), ..., s(n)) such that every s(i) is an integer, s(0) = 0, |s(i) - s(i-1)| = 1 for i = 1,2; |s(i) - s(i-1)| <= 1 for i >= 3, s(n) = 4. Also a(n) = T(n,n-4), where T is the array defined in A024996.at n=7A026071
- Palindromes of form k*(k+2); or palindromes 1 less than a square.at n=6A028504
- Even numbers in the (2,3)-Pascal triangle A029600.at n=49A029605
- Even numbers in the (2,3)-Pascal triangle A029600 that are different from 2.at n=36A029607
- Numbers to the left of the central numbers of the (2,3)-Pascal triangle A029600.at n=48A029610
- Numbers to the left of the central elements of the (2,3)-Pascal triangle A029600 that are different from 2.at n=35A029611
- Even numbers (not equal to 2) to the left of the central elements of the (2,3)-Pascal triangle A029600.at n=14A029613
- Even numbers in (3,2)-Pascal triangle A029618.at n=50A029623