6122
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 11
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9186
- Proper Divisor Sum (Aliquot Sum)
- 3064
- 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
- 3060
- Möbius Function
- 1
- Radical
- 6122
- 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
- 49
- 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 coprime chains with largest member prime(n).at n=25A003140
- a(n) = Sum_{k=0..n} (-1)^(n-k) C(n,k)*C((k+1)^2, n).at n=4A003236
- Numbers k such that the continued fraction for sqrt(k) has period 21.at n=32A020360
- Number of partitions of n with equal number of parts congruent to each of 0, 3 and 4 (mod 5).at n=47A035577
- a(n)=(s(n)+4)/10, where s(n)=n-th base 10 palindrome that starts with 6.at n=34A043085
- Discriminants of real quadratic fields with class number 2 and related continued fraction period length of 21.at n=11A051986
- Numbers k such that k*2^m+1 are composites for all exponents m in the range 0<=m<=k.at n=17A061153
- Potential Sierpiński numbers: integers for which the smallest m > 2^10 in A040076 such that n*2^m+1 is prime (A050921).at n=19A064721
- Numbers k such that A049614(k) + A000040(k) is prime.at n=18A078744
- Even numbers such that all a(i) + a(j) are distinct.at n=42A080432
- Least k such that 10^n + k - 1 is the first of a pair of twin primes.at n=41A103129
- Number of symmetric (0,1)-matrices with exactly n entries equal to 1 and no zero rows or columns.at n=8A135588
- G.f.s of the z^p coefficients of the polynomials in the GF4 denominators of A156933.at n=17A157705
- Start with a(1) = 1; then a(n) = smallest number > a(n-1) such that a(n) divides concat(a(1), a(2), ..., a(n)).at n=50A171785
- Column sums of an infinite Kostka matrix.at n=91A182395
- a(n) = -1 + n + 4*n^2.at n=39A182868
- Number of nonempty subsets of {1, 2, ..., n} with <=5 pairwise coprime elements.at n=25A187266
- Number of -n..n arrays x(0..2) of 3 elements with zero sum and no two neighbors equal.at n=44A199705
- Number of n X 5 0..1 arrays with every row and column running average nondecreasing rightwards and downwards, and the number of instances of each value within one of each other.at n=24A201501
- Number of (w,x,y) with all terms in {0,...,n} and w<x+y and x<y.at n=24A212980