6294
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 12600
- Proper Divisor Sum (Aliquot Sum)
- 6306
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 2096
- Möbius Function
- -1
- Radical
- 6294
- Omega Function (Ω)
- 3
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 124
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- a(0) = 1, a(n) = 13*n^2 + 2 for n>0.at n=22A010004
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Lucas numbers), t = A000201 (lower Wythoff sequence).at n=19A024474
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Lucas numbers), t = A000201 (lower Wythoff sequence).at n=18A025094
- a(n) = T(n,n+2) where T is the array defined in A025564.at n=7A025568
- [ exp(2/9)*n! ].at n=6A030956
- 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 78.at n=14A031576
- Numbers k such that 229*2^k+1 is prime.at n=11A032491
- Denominators of continued fraction convergents to sqrt(295).at n=8A041555
- a(n) = T(n,n-5), array T as in A055801.at n=29A055805
- Smallest x > 0 such that gcd(2^x, A004086(2^x)) = 2^n.at n=17A072033
- Map from binary trees of size n to the set of corresponding trivalent plane trees (tpt) represented as size 2n+1 general trees.at n=20A083930
- Riordan array (1/sqrt(1-2*x-3*x^2), M(x)-1) where M(x) is the g.f. of the Motzkin numbers A001006.at n=47A114422
- a(n) = 7*n^2 + 14*n + 1.at n=29A131878
- Index of starting position of n-th generation of terms in A063882.at n=11A132174
- a(n) = 9*n^2 - 10*n + 3.at n=27A154262
- a(n) = n*(6*n^2 + 15*n + 5)/2.at n=12A163833
- Numbers k such that k^3 +-7 are primes.at n=19A176685
- The number of strong vertex magic total labelings of all 2-regular simple graphs on 2n+1 vertices.at n=5A177742
- Number of permutations of length n which avoid the patterns 321 and 1324.at n=15A179257
- Triprimes (numbers that are a product of exactly three primes: A014612) that become cubes when their central digit or central pair of digits is deleted.at n=42A217297