4820
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 10164
- Proper Divisor Sum (Aliquot Sum)
- 5344
- 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
- 1920
- Möbius Function
- 0
- Radical
- 2410
- Omega Function (Ω)
- 4
- 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
- Number of solutions to the rook problem on an n X n board having a certain symmetry group (see Robinson for details).at n=7A000899
- Sum of fourth powers of Fibonacci numbers.at n=5A005969
- Coordination sequence T2 for Zeolite Code APD.at n=46A008035
- Coordination sequence T4 for Zeolite Code EUO.at n=43A008099
- Number of n X n upper triangular matrices A of nonnegative integers such that a_1i + a_2i + ... + a_{i-1,i} - a_ii - a_{i,i+1} - ... - a_in = -1.at n=5A008608
- a(n) = Sum_{k = 1..n} k*floor((n + prime(k))/k).at n=41A024929
- Number of partitions of n into parts not of the form 15k, 15k+7 or 15k-7. Also number of partitions with at most 6 parts of size 1 and differences between parts at distance 6 are greater than 1.at n=32A035961
- Values of A038007 not ending in 6 or 8.at n=5A038009
- All differences C(j)-C(i), j>i, of Catalan numbers A000108.at n=32A047075
- Number of simple unlabeled n-node graphs of edge-connectivity 2.at n=7A052447
- Coordination sequence T6 for Zeolite Code SFE.at n=46A057322
- McKay-Thompson series of class 51A for the Monster group.at n=54A058704
- Number of solutions to +- 1 +- 2 +- 3 +- ... +- n = 0 or +- 1.at n=17A063867
- Number of 4-dimensional partitions of n up to conjugacy.at n=14A119267
- a(n) = smallest value of k such that n*k^(1/n) >= (n+1)*k^(1/(n+1)).at n=7A120369
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+241)^2 = y^2.at n=6A129991
- Numbers k such that k and k^2 use only the digits 0, 2, 3, 4 and 8.at n=19A136885
- a(n) = p(n)*p(n+2)-p(n+1), where p(n) is the n-th prime.at n=18A152530
- Integers of the form m*(6*m -+ 1)/2.at n=39A154292
- a(n) = 250*n - 180.at n=20A154360