3613
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
- 3
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 3614
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 3612
- Möbius Function
- -1
- Radical
- 3613
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- 118
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 505
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Centered square numbers: a(n) = 2*n*(n+1)+1. Sums of two consecutive squares. Also, consider all Pythagorean triples (X, Y, Z=Y+1) ordered by increasing Z; then sequence gives Z values.at n=42A001844
- Bitriangular permutations.at n=5A006230
- Denominators of worst case for Engel expansion.at n=28A006540
- Denominators of worst case for Engel expansion.at n=30A006540
- Denominators of worst case for Engel expansion.at n=29A006540
- Coordination sequence T6 for Zeolite Code EUO.at n=37A008101
- Base-7 Armstrong or narcissistic numbers (written in base 10).at n=17A010350
- Numbers k such that the continued fraction for sqrt(k) has period 89.at n=1A020428
- n-th prime p(k) such that p(k) + p(k+9) = p(k+3) + p(k+6).at n=42A022893
- Primes that remain prime through 2 iterations of function f(x) = 2x + 3.at n=46A023242
- Primes that remain prime through 2 iterations of the function f(x) = 8*x + 5.at n=25A023262
- a(n) = least m such that if r and s in {1/2, 1/4, 1/6,..., 1/2n} satisfy r < s, then r < k/m < s for some integer k.at n=47A024820
- Smallest prime in Goldbach partition of A025018(n).at n=45A025019
- Primes of the form j^2 + (j+1)^2.at n=19A027862
- Primes p such that digits of p appear in p^2 and p^3.at n=25A030085
- Smallest nontrivial extension of n-th square which is a prime.at n=18A030685
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 32 ones.at n=14A031800
- Numbers whose set of base-12 digits is {1,2}.at n=22A032932
- Primes of form x^2+77*y^2.at n=23A033249
- Primes of form x^2+83*y^2.at n=27A033253