6201
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 9
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9828
- Proper Divisor Sum (Aliquot Sum)
- 3627
- 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
- 3744
- Möbius Function
- 0
- Radical
- 2067
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 36
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6.at n=26A000330
- a(n) = binomial(n+3, 3)/4 for odd n, n*(n+2)*(n+4)/24 for even n.at n=51A006918
- a(n) = floor(n*(n-1)*(n-2)/24).at n=54A011842
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/15).at n=19A011925
- Numbers k that divide s(k), where s(1)=1, s(j)=13*s(j-1)+j.at n=22A014861
- Odd square pyramidal numbers.at n=13A015221
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor(n/2), s = (odd natural numbers).at n=25A025112
- Second 10-gonal (or decagonal) numbers: n*(4*n+3).at n=39A033954
- Denominators of continued fraction convergents to sqrt(314).at n=11A041593
- a(1) = 6; a(n) is smallest number >= a(n-1) such that the juxtaposition a(1)a(2)...a(n) is a prime.at n=38A046256
- a(n) = n*(n^4 + 10*n^3 + 35*n^2 + 50*n + 144)/120.at n=12A051745
- 21-gonal numbers: a(n) = n*(19n - 17)/2.at n=26A051873
- (n - phi(n)) | sigma(n) for composite n not congruent to 2 (mod 4).at n=18A055164
- Consider the line segment in R^n from the origin to the point P=(1,2,3,...,n); let d = squared distance to this line from the closest point of Z^n (excluding the endpoints). Sequence gives d times P.P.at n=25A059774
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 79 ).at n=24A063352
- Numbers n such that sigma(n) = 4*(n-phi(n)).at n=7A068420
- List of codewords in binary lexicode with Hamming distance 5 written as decimal numbers.at n=17A075931
- Number of ways of pairing the odd squares of the numbers 1 to n with the even squares of the numbers n+1 to 2n such that each pair sums to a prime.at n=24A077763
- Numbers k such that A004154(k) + 1 is prime.at n=16A078203
- a(n) = (1/24)*(sigma_3(2*n-1) - sigma_1(2*n-1)).at n=26A081861