7084
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 16128
- Proper Divisor Sum (Aliquot Sum)
- 9044
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 2640
- Möbius Function
- 0
- Radical
- 3542
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 57
- 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
- yes
- Odd
- no
Appears in sequences
- Fermat coefficients.at n=9A000971
- Number of dissections of a polygon: binomial(4*n, n)/(3*n + 1).at n=6A002293
- Number of nonequivalent dissections of an n-gon into 3 polygons by nonintersecting diagonals up to rotation.at n=41A003451
- Degrees of irreducible representations of Conway group Co3.at n=13A003910
- Degrees of irreducible representations of Conway group Co2.at n=8A003911
- a(n) = round(n*phi^12), where phi is the golden ratio, A001622.at n=22A004947
- a(n) = ceiling(n*phi^12), where phi is the golden ratio, A001622.at n=22A004967
- a(n) = n*(n+5)*(n+6)*(n+7)/24.at n=16A005587
- a(n) = binomial(n+3,6) + binomial(n+1,5) + binomial(n,5).at n=9A005732
- Expansion of Product_{k>=1} (1 - x^k)^14.at n=20A010821
- Number of irreducible alternating Euler sums of depth 6 and weight 6+2n.at n=18A011796
- a(n) = floor(binomial(n,5)/6).at n=24A011843
- a(n) = floor(n*(n-1)*(n-2)*(n-3)/30).at n=23A011940
- a(n) = 1*(n+3-1) + 2*(n+3-2) + .... + k*(n+3-k), where k=floor((n+1)/2).at n=41A023857
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = (natural numbers >= 2).at n=41A024853
- a(n) = s(1)*t(n) + s(2)*t(n-1) + ... + s(k)*t(n-k+1), where k = floor(n/2), s = (natural numbers), t = (natural numbers >= 3).at n=40A024854
- T(3n,n), where T is the array defined in A026105.at n=5A026113
- a(n) = Sum_{k=0..n} (k+1) * A026681(n, k).at n=9A026990
- Numbers k that divide the (right) concatenation of all numbers <= k written in base 23 (most significant digit on left).at n=20A029468
- Least term in period of continued fraction for sqrt(n) is 6.at n=34A031430