5035
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
- 8
- Divisor Sum
- 6480
- Proper Divisor Sum (Aliquot Sum)
- 1445
- 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
- 3744
- Möbius Function
- -1
- Radical
- 5035
- Omega Function (Ω)
- 3
- 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
- 134
- 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
- 7th-order maximal independent sets in cycle graph.at n=56A007389
- Coordination sequence T4 for Zeolite Code TON.at n=44A008244
- First coordinate of fundamental unit of real quadratic field with discriminant A003658(n), n >= 2.at n=29A014000
- a(n) = n*(7*n - 1)/2.at n=38A022264
- 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 13.at n=43A031511
- Denominators of continued fraction convergents to sqrt(814).at n=8A042571
- Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities).at n=19A045940
- Write fundamental unit for real quadratic field of discriminant n as x + y*omega; sequence gives values of x for n == 1 mod 4.at n=18A053370
- a(n) = binomial(n,4) + binomial(n,2).at n=19A055795
- a(n) = 2*n^2 + 9*n - 5.at n=47A056237
- a(n) = a(n-1) + a(n-2) + R(a(n-3)) where a(0) = a(1) = a(2) = 1 and R(n) (A004086) means the reverse of n.at n=14A074858
- z-value of the solution (x,y,z) to 3/(2n+1) = 1/x + 1/y + 1/z satisfying 0 < x < y < z, odd x, y, z and having the largest z-value. The x and y components are in A075260 and A075261.at n=24A075262
- a(n) = A104908(n) - 10*A104863(n).at n=27A104909
- Numbers n such that A001414(n) is a golden semiprime, where A001414 is the sum of primes dividing n (with repetition).at n=37A108219
- The n-th prime minus n gives a triangular number.at n=45A115883
- Numbers n such that n, n+1, n+2 and n+3 are products of exactly 3 primes.at n=18A124057
- Numbers k such that k and k^2 use only the digits 0, 1, 2, 3 and 5.at n=54A136811
- Smallest number k such that M(n)^2-k*M(n)+1 is prime with M(n)= Mersenne primes =A000668(n).at n=21A139425
- Number of subsets {x(1),x(2),...,x(k)} of {1,2,...,n} such that all differences |x(i)-x(j)| are distinct.at n=19A143823
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (-1, 1, 1), (1, 0, -1), (1, 0, 1)}.at n=8A148765