6613
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 7020
- Proper Divisor Sum (Aliquot Sum)
- 407
- 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
- 6208
- Möbius Function
- 1
- Radical
- 6613
- 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
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 93
- 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
- Powers of cube root of 14 rounded down.at n=10A018015
- Powers of cube root of 14 rounded to nearest integer.at n=10A018016
- Integer part of ((4th elementary symmetric function of 2,3,...,n+4)/(2nd elementary symmetric function of 2,3,...,n+4)).at n=20A024181
- a(n) = least m such that if r and s in {1/1, 1/3, 1/5, ..., 1/(2n-1)} satisfy r < s, then r < k/m < (k+3)/m < s for some integer k.at n=30A024844
- Numbers k such that 165*2^k+1 is prime.at n=46A032459
- Dirichlet convolution of Fibonacci numbers with 3^(n-1).at n=8A034745
- Smallest number m such that m^2+1 is divisible by A002144(n)^2 (= squares of primes congruent to 1 mod 4).at n=14A059321
- a(n) = (2*n-1)^2 + (2*n)^2.at n=28A060820
- Numbers having exactly twelve anti-divisors.at n=27A066478
- Interprimes which are of the form s*prime, s=17.at n=4A075292
- a(n) = 8*n^2 - 4*n + 1.at n=29A080856
- Downward vertical of triangular spiral in A051682.at n=19A081272
- Numbers k such that (k!)^2 + k! - 1 is prime.at n=11A084830
- Numbers n such that sum of n-th and (n+1)-st semiprimes is a square=q^2.at n=39A109311
- Records in A117677.at n=38A117679
- Odd interprimes divisible by 17.at n=23A124620
- 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, 0, 0), (-1, 0, 1), (0, -1, 1), (1, 0, -1), (1, 1, 1)}.at n=7A149778
- 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, 0, 1), (0, 1, 0), (1, 0, -1), (1, 0, 1), (1, 1, 1)}.at n=6A151233
- Nonprimes of the form (k^2+1)/2.at n=35A166080
- Number of paths from (0,0) to (n+2,n) using only up and right steps and avoiding two or more consecutive moves up or three or more consecutive moves right.at n=33A177787