5017
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5220
- Proper Divisor Sum (Aliquot Sum)
- 203
- 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
- 4816
- Möbius Function
- 1
- Radical
- 5017
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 41
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Numbers that are the sum of 5 positive 6th powers.at n=29A003361
- Numbers that are the sum of 10 positive 7th powers.at n=26A003377
- Coordination sequence T3 for Zeolite Code EPI.at n=44A008092
- Apply (1+Shift) to Bell numbers.at n=8A011968
- Aitken's array: triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} read by rows, defined by a(0,0)=1, a(n,0) = a(n-1,n-1), a(n,k) = a(n,k-1) + a(n-1,k-1).at n=37A011971
- Sequence formed by reading rows of triangle defined in A011971.at n=29A011972
- Odd pentagonal numbers.at n=29A014632
- a(n) = Sum_{k=1..n} k*[ (n/k)*[ n/k ] ].at n=36A024932
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Fibonacci numbers), t = A001950 (upper Wythoff sequence).at n=20A025085
- Number of plane regions after drawing (in general position) a convex n-gon and all its diagonals.at n=18A027927
- Sizes of successive balls in D_4 lattice.at n=22A046949
- Pentagonal numbers with even index.at n=29A049452
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 4.at n=40A050037
- Consider all integer triples (i,j,k), j,k>0, with binomial(i+2,3)=binomial(j+2,3)+k^3, ordered by increasing i; sequence gives i values.at n=27A054221
- A054221 without cubes.at n=11A054224
- a(n) = T(n,n-4), array T as in A055801.at n=37A055804
- Smallest k > 0 with gcd(k, rev(k)) = n, where rev(k) is digit reversal of k, or 0 if no such k exists.at n=28A069554
- a(n) is the smallest number such that gcd(a(n), sigma(a(n))) = n.at n=28A074391
- Numbers k such that the binary expansion of 3^k has the same number of 0's and 1's.at n=43A078839
- Diagonal of triangular spiral in A051682.at n=33A081267