9618
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 22080
- Proper Divisor Sum (Aliquot Sum)
- 12462
- 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
- 2736
- Möbius Function
- 1
- Radical
- 9618
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 47
- 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 k such that the least term in the periodic part of the continued fraction for sqrt(k) is 14.at n=13A031692
- Numbers having four 2's in base 8.at n=23A043432
- a(n) = a(n-1) + n^2 if n prime else a(n-1) - n, starting with a(0) = 0.at n=48A051353
- Smallest k such that n^8+k^8, n^4+k^4, n^2+k^2, n+k are simultaneously prime.at n=12A071564
- Expansion of g.f. Product((1+x^i)/(1-x^i),i=1..n-1)/(1-x^n), with n = 6.at n=27A091774
- a(n) = floor( e^((n/2)*arccosh(1+sqrt(2))) ).at n=12A093698
- a(n)=number of Catalan knight paths in right half-plane from (0,0) to (n,1).at n=12A096610
- Positive integers not appearing in sequence A098572, which calculates the values of floor(sum(m^(1/m),n=1..m)).at n=42A098573
- Positive integers n such that n^11 + 1 is semiprime.at n=42A105122
- a(n) = 686*n + 14.at n=13A157366
- a(n) = 196*n^2 + 2*n.at n=6A158222
- a(n) = 196*n^2 + 14.at n=7A158555
- a(n) = 49*n^2 + n.at n=13A173141
- Numbers m such that all three values m^2 + 13^k, k = 1, 2, 3, are prime.at n=37A178639
- Number of partitions p of n such that max(p) - min(p) is not a part of p.at n=33A238494
- Number of partitions p of n such that the number of distinct parts is not a part and max(p) - min(p) is a part.at n=46A241388
- Boyd's Pisot-like sequence F(0,5,11).at n=18A274946
- Expansion of Sum_{i>=1} mu(i)^2*i*x^i/(1 - x^i) / Product_{j>=1} (1 - x^j), where mu() is the Moebius function (A008683).at n=19A281904
- Number of prime parts in the partitions of n into 6 parts.at n=46A309433
- Number of ways to split an n-cycle into connected subgraphs, all having at least three vertices.at n=24A323951