4416
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 28
- Divisor Sum
- 12192
- Proper Divisor Sum (Aliquot Sum)
- 7776
- 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
- 1408
- Möbius Function
- 0
- Radical
- 138
- Omega Function (Ω)
- 8
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 20
- 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
- a(n) = (7*n+1)*(7*n+6).at n=9A001526
- Number of self-avoiding n-step walks on honeycomb lattice.at n=12A001668
- Number of partitions with no even part repeated; partitions of n in which no parts are multiples of 4.at n=34A001935
- Numbers that are the sum of 6 positive 6th powers.at n=33A003362
- Coordination sequence T5 for Zeolite Code AET.at n=46A008011
- Theta series of direct sum of f.c.c. and b.c.c. lattices.at n=47A008664
- Theta series of direct sum of 2 copies of b.c.c. lattice.at n=47A008665
- a(n) = n! * Sum_{j=0..floor(n/2)} (-1)^j/binomial(n,j).at n=7A024420
- a(n) = A027144(2n-1, n-1).at n=5A027148
- a(n) = A027144(n, floor(n/2)).at n=11A027150
- T(2n-1,n-1), T given by A027157.at n=5A027161
- a(n) = T(n,[ n/2 ]), T given by A027157.at n=11A027163
- Expansion of (theta_3(z)*theta_3(9z)+theta_2(z)*theta_2(9z))^4.at n=28A028604
- Every run of digits of n in base 11 has length 2.at n=34A033009
- Total number of possible knight moves on an (n+2) X (n+2) chessboard, if the knight is placed anywhere.at n=23A035008
- Composite numbers n such that juxtaposition of prime factors of n has length 9.at n=30A036333
- Sums of 3 distinct powers of 4.at n=29A038471
- Numbers having three 0's in base 8.at n=25A043423
- Positive integers having more base-11 runs of even length than odd.at n=37A044837
- Numbers whose base-4 representation contains exactly four 0's and three 1's.at n=9A045036