8947
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 28
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9360
- Proper Divisor Sum (Aliquot Sum)
- 413
- 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
- 8536
- Möbius Function
- 1
- Radical
- 8947
- 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
- 96
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 84.at n=30A020423
- a(n) = Sum_{0<=j<=i<=n} A027170(i, j).at n=9A027180
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 44 ones.at n=32A031812
- Number of partitions of n into parts not of form 4k+2, 16k, 16k+7 or 16k-7.at n=51A036023
- a(n) = 9*a(n-1) - 9*a(n-2) + a(n-3); given a(1) = 1, a(2) = 3, a(3) = 19.at n=5A095002
- Smallest m such that m * prime(n) consists of decimal digits not greater than 1.at n=29A119483
- Numbers k such that k and k^2 use only the digits 0, 4, 7, 8 and 9.at n=18A136959
- Meandric numbers for a river crossing up to 6 parallel roads at n points.at n=11A208452
- Numbers k such that 17*k+1 is a square.at n=45A219394
- Number of 5 X n -1,1 arrays such that the sum over i=1..5,j=1..n of i*x(i,j) is zero and rows are nondecreasing (ways to put n thrusters pointing east or west at each of 5 positions 1..n distance from the hinge of a south-pointing gate without turning the gate).at n=13A225312
- Partitions with superdiagonal growth: number of partitions (p0, p1, p2, ...) of n with pi - p0 >= i.at n=49A238860
- Partial sums of A253086.at n=44A255150
- Expansion of Product_{k>=1} (1+x^k)^(A002203(k)).at n=8A261332
- Expansion of Product_{k>=1} (1+x^(3*k-1))^k.at n=56A262878
- Numbers k such that k![4] - 2 is prime, where k![4] = A007662(k) = quadruple factorial.at n=35A283554
- a(0)=0, then a(n) = smallest odd k > a(n-1) such that 6*k^prime(n)-1 is prime.at n=32A283676
- Numbers k such that A088177(k) = 1.at n=42A341490
- Expansion of Sum_{k>0} x^(2*k)/(1+x^k)^4.at n=35A363598
- G.f.: Product_{k>=1} (1 + x^(2*k^2)) / (1 - x^k).at n=29A385009