3117
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
- 4
- Divisor Sum
- 4160
- Proper Divisor Sum (Aliquot Sum)
- 1043
- 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
- 2076
- Möbius Function
- 1
- Radical
- 3117
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 61
- 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
- Describe the previous term! (method A - initial term is 7).at n=3A001145
- Representation degeneracies for boson strings.at n=25A005293
- Coordination sequence T1 for Zeolite Code APD.at n=37A008034
- Coordination sequence T2 for Zeolite Code GOO.at n=38A008112
- Coordination sequence T1 for Zeolite Code -PAR.at n=40A009855
- Numbers k such that the continued fraction for sqrt(k) has period 62.at n=3A020401
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Fibonacci numbers), t = (composite numbers).at n=19A024461
- Partial sums of the sequence of prime powers (A000961).at n=49A024918
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Fibonacci numbers), t = (composite numbers).at n=18A025081
- a(n) = (d(n)-r(n))/2, where d = A026063 and r is the periodic sequence with fundamental period (1,1,0,1).at n=23A026064
- a(n) = least k such that 1+2+...+k >= E{1,2,...,n}, where E is the 3rd elementary symmetric function.at n=22A027917
- Numbers n such that n divides the (left) concatenation of all numbers <= n written in base 22 (most significant digit on right and removing all least significant zeros before concatenation).at n=11A029539
- 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 36.at n=21A031534
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 28 ones.at n=18A031796
- Numbers whose set of base-6 digits is {2,3}.at n=33A032806
- Number of partitions of 5n such that cn(0,5) < cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5).at n=10A036893
- Positive numbers having the same set of digits in base 5 and base 9.at n=38A037432
- Numerators of continued fraction convergents to sqrt(593).at n=6A042136
- a(n)=(s(n)+5)/9, where s(n)=n-th base 9 palindrome that starts with 4.at n=42A043075
- Numbers k such that the string 4,3 occurs in the base 9 representation of k but not of k-1.at n=42A044290