3106
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 10
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 4662
- Proper Divisor Sum (Aliquot Sum)
- 1556
- 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
- 1552
- Möbius Function
- 1
- Radical
- 3106
- 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
- 123
- 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
- yes
- Odd
- no
Appears in sequences
- Number of pairs of consecutive integers x, x+1 such that all prime factors of both x and x+1 are at most the n-th prime.at n=17A002071
- Centered triangular numbers: a(n) = 3*n*(n-1)/2 + 1.at n=45A005448
- 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+2)/m < s for some integer k.at n=24A024841
- 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 54.at n=14A031552
- Coordination sequence T5 for Zeolite Code CFI.at n=37A033603
- Multiplicity of highest weight (or singular) vectors associated with character chi_166 of Monster module.at n=38A034554
- Dirichlet convolution of 3^(n-1) with Bell numbers.at n=7A034756
- Numerators of continued fraction convergents to sqrt(514).at n=4A041982
- Numbers n such that string 0,6 occurs in the base 10 representation of n but not of n-1.at n=33A044338
- Numbers n such that string 0,6 occurs in the base 10 representation of n but not of n+1.at n=33A044719
- Numbers whose base-5 representation contains exactly two 1's and three 4's.at n=9A045258
- Number of character table entries of the symmetric group S_n which are < 0.at n=12A051748
- Number of partitions of n in which each part occurs an odd number (or zero) times.at n=35A055922
- Coordination sequence T1 for Zeolite Code MTF.at n=33A057304
- Coordination sequence T3 for Zeolite Code SAV.at n=42A057316
- Low-temperature partition function expansion for square lattice (Potts model, q=3).at n=16A057377
- Smallest "inconsummate number" in base n greater than in the previous base.at n=43A061381
- a(n+1) = a(n) + a(floor(n/2)), with a(0)=0, a(1)=1.at n=55A062188
- In base 2: smallest integer which requires n 'Reverse and Add' steps to reach a palindrome.at n=39A066058
- Sum of the digits of the n-th Mersenne prime (A000668).at n=15A066538