9714
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
- 19440
- Proper Divisor Sum (Aliquot Sum)
- 9726
- 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
- 3236
- Möbius Function
- -1
- Radical
- 9714
- 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
- 166
- 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
- Numbers that are the sum of 5 positive 6th powers.at n=44A003361
- Expansion of log(1+tan(x))/exp(x).at n=7A009374
- 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 98.at n=5A031596
- Expansion of sum ( q^n / product( 1-q^k, k=1..6*n), n=0..inf ).at n=27A035298
- G.f. satisfies A(x) = 1 + x*cycle_index(G,A(x)) where G = cyclic group of order 23 generated by (1,2,...,23).at n=6A036733
- Numbers k such that 161*2^k-1 is prime.at n=19A050832
- Values of e, the lesser key or generating number for Pythagorean triangles in which S (the odd short leg) and U (the hypotenuse) are twin primes.at n=33A051892
- Number of n-hedra with 2n-5 vertices or 3n-7 edges (the vertices of these are all of degree 3, except one which is of degree 4). Alternatively, the number of polyhedra with n vertices whose faces are all triangular, except one which is tetragonal.at n=6A058786
- Triangle T(n,k) = number of polyhedra (triconnected planar graphs) with n faces and k vertices, where (n/2+2) <= k <= (2n+8).at n=46A058787
- Triangle T(n,k) = number of polyhedra (triconnected planar graphs) with n edges and k vertices (or k faces), where (n/3+2) <= k <= (2n/3). Note that there is no such k when n=7.at n=70A058788
- Monotonically increasing sequence of least positive integers, a(1)=1, such that the self-convolution produces all squares.at n=21A087150
- Lesser of twin admirable numbers: k such that k and k+2 are both admirable numbers.at n=35A109730
- Expansion of 1 + Sum_{k>0} x^k^2/((1-x)(1-x^2)...(1-x^(2k))).at n=49A122129
- Sum of all Wiener indices of "chemical" trees described by A000602(n).at n=9A122684
- Values of the difference d for 5 primes in arithmetic progression with the minimal start sequence {5 + j*d}, j = 0 to 4.at n=42A206039
- Number of nX1 1..4 arrays with every element value z a city block distance of exactly z from another element value z.at n=15A209390
- Irregular triangle read by rows: T(n,k) is the number of polyhedra with n faces and k vertices (n >= 4, k=4..2n-4).at n=62A212438
- Bernoulli denominators with 8 divisors in increasing order (without repetitions).at n=42A219742
- a(n) = floor(M(g(n-1)+1,..,g(n))), where M = harmonic mean and g(n) = n*(n + 1)*(n + 2)*(n + 3)/24.at n=20A227018
- Trisection of A107926: The least number k such that there are primes p and q with p - q = 6*n+4, p + q = k, and p the least such prime >= k/2.at n=24A234956