5124
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 13888
- Proper Divisor Sum (Aliquot Sum)
- 8764
- 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
- 2562
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 54
- 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 9 positive 10th powers.at n=5A004809
- Theta series of A_6 lattice.at n=11A008446
- Convolution of natural numbers with Beatty sequence for the golden mean A000201.at n=25A023541
- Theta series of A*_6 lattice.at n=55A023918
- n written in fractional base 9/5.at n=40A024653
- a(n) = Sum{T(n,k-1), k = 1,2,...,n}.at n=8A025578
- Number of n-move knight paths on 8 X 8 board from given corner to opposite corner.at n=8A025601
- 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=34A031544
- Number of partitions of n into parts not of the form 17k, 17k+6 or 17k-6. Also number of partitions with at most 5 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=31A035967
- Sums of 3 distinct powers of 4.at n=31A038471
- Denominators of continued fraction convergents to sqrt(540).at n=7A042033
- Numbers whose base-4 representation contains exactly four 0's and three 1's.at n=11A045036
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2*n - 2 - 2^(p+1) and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = 1, a(2) = 2, and a(3) = 1.at n=29A050043
- Expansion of (1-x)/(1-x-3x^3).at n=16A052900
- Numbers k such that 5*3^k - 2 is prime.at n=23A058591
- Smallest even number divisible by 2n which is nontotient, i.e., in A005277.at n=41A071616
- Number of permutations (p(1),p(2),...,p(n)) of (1,2,...,n) such that p(i)-i is in {-2,-1,3} for all i=1,...,n.at n=31A079999
- Diagonal of A083167.at n=42A083168
- a(1) = 1, a(n) = smallest multiple of n using nonzero digits beginning with the digit reversal of a(n-1), if n is not == 0 (mod 10), else a(10^r*k) =10^r*{digit Reversal of a(10^r*k-1)}.at n=5A089320
- Triangle read by rows, T(n,k) = binomial(n,k)*A000111(n-k), 0 <= k <= n.at n=48A109449