4845
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 8640
- Proper Divisor Sum (Aliquot Sum)
- 3795
- 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
- 2304
- Möbius Function
- 1
- Radical
- 4845
- Omega Function (Ω)
- 4
- 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
- yes
- 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
- 72
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- Binomial coefficient binomial(n,4) = n*(n-1)*(n-2)*(n-3)/24.at n=20A000332
- Binomial coefficients binomial(5n,n).at n=4A001449
- Number of connected linear spaces with n (unlabeled) points.at n=10A001548
- Binomial coefficient C(2n,n-6).at n=4A004312
- Binomial coefficient C(4n,n-1).at n=4A004331
- Random walks.at n=4A005025
- Tricapped prism numbers.at n=14A005920
- Coordination sequence T10 for Zeolite Code EUO.at n=43A008096
- Binomial coefficient C(20,n).at n=16A010936
- Binomial coefficient C(20,n).at n=4A010936
- a(n) = binomial(n,16).at n=4A010969
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 4.at n=35A013592
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 5.at n=13A013593
- Triangular array formed from odd elements to right of middle of rows of Pascal's triangle.at n=49A014475
- Odd pentagonal numbers.at n=28A014632
- Expansion of e.g.f. theta_3^(19/2).at n=3A015676
- Binomial coefficients: C(n,k), 4 <= k <= n-4, sorted.at n=42A024748
- Binomial coefficients: C(n,k), 4 <= k <= n-4, sorted.at n=43A024748
- Binomial coefficients: C(n,k), 4 <= k <= n-4, sorted, duplicates removed.at n=22A024756
- T(n,0) + T(n,1) + ... + T(n,n), T given by A026714.at n=10A026721