6261
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 8352
- Proper Divisor Sum (Aliquot Sum)
- 2091
- 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
- 4172
- Möbius Function
- 1
- Radical
- 6261
- 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
- 124
- 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
- Number of positive integers <= 2^n of form x^2 + 6 y^2.at n=15A000077
- a(n) = floor( n*(n-1)*(n-2)/11 ).at n=42A011893
- Number of labeled servers of dimension 6.at n=4A027393
- 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 52.at n=26A031550
- Numbers whose base-5 representation contains exactly three 0's and two 2's.at n=15A045186
- a(n) = (9*n^4 + 4*n^3 - n)/2.at n=6A047786
- Discriminants of real quadratic fields with class number 1 and related continued fraction period length of 12.at n=24A050961
- Numbers n such that googol - n is prime.at n=20A108251
- Number of digits in numbers appearing in A108225.at n=17A109070
- Row sums of triangle A120919 (cascadence of (1+x)^3).at n=4A120923
- Ulam's spiral (ESE spoke).at n=20A143855
- Numbers that are the product of two distinct primes and they are partial sum of products of two distinct primes.at n=19A168476
- Partial sums of floor(n^2/5) (A118015).at n=45A181640
- G.f.: exp( Sum_{n>=1} A206158(n)*x^n/n ), where A206158(n) = Sum_{k=0..n} binomial(n,k)^(2*k+1).at n=4A206157
- Number of n-bead necklaces labeled with numbers -6..6 not allowing reversal, with sum zero and first and second differences in -6..6.at n=6A209005
- T(n,k) = number of n-bead necklaces labeled with numbers -k..k not allowing reversal, with sum zero and first and second differences in -k..k.at n=72A209007
- Number of 7-bead necklaces labeled with numbers -n..n not allowing reversal, with sum zero and first and second differences in -n..n.at n=5A209011
- Number of 2 X n arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 2 X n array.at n=16A219803
- Number of distinct values of the sum of i*(i-1) over 7 realizations of i in 0..n.at n=43A225287
- Irregular triangle read by rows: T(n,k) = number of ways k brooks (0 <= k <= 2n+1) can be placed on the grid points of an n triboard so that no two brooks lie in the same straight line.at n=44A260333