4836
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
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 12544
- Proper Divisor Sum (Aliquot Sum)
- 7708
- 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
- 1440
- Möbius Function
- 0
- Radical
- 2418
- Omega Function (Ω)
- 5
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 59
- 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) = dot_product(1,2,...,n)*(6,7,...,n,1,2,3,4,5).at n=20A026046
- dot_product(n,n-1,...2,1)*(7,8,...,n,1,2,3,4,5,6).at n=19A026066
- a(n) = Sum_{k=0..floor(n/2)} T(n-k,k), T given by A026780.at n=15A026790
- Diagonal sum of right-justified array T given by A027023.at n=11A027038
- Numbers having period-2 6-digitized sequences.at n=10A031357
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 46.at n=20A031544
- Number of partitions of n into parts 5k+1 or 5k+2.at n=56A035371
- Number of partitions of 5n such that cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5) <= cn(0,5).at n=11A036891
- Shifts left under transform T where Ta is phi DCONV a.at n=43A038045
- a(n) = 2*n^2 + 9*n - 5.at n=46A056237
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 83 ).at n=17A063356
- Number of primes in the interval [p(n), p(n)^2] minus p(n), where p(n) is the n-th prime.at n=47A066883
- Final terms of rows in A077341.at n=47A077343
- Triangular array related to tennis ball problem, read by rows.at n=50A079521
- Riordan array (1, x*c(x)*c(-x*c(x))), c(x) the g.f. of A000108.at n=69A112519
- Triangle read by rows, based on a simple Jacobsthal number recursion rule.at n=42A114163
- Numbers n such that n together with its double and triple contain every digit.at n=39A120564
- Numbers k such that 5^k mod k = 5^k mod k^2.at n=24A125775
- Numbers k such that k^2 divides 5^k-1.at n=19A127105
- Turan's upper bound on the number of triangles of a simplicial complex of dimension two for which every minimal non-face has three vertices.at n=38A140462