5509
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
- 4
- Divisor Sum
- 6304
- Proper Divisor Sum (Aliquot Sum)
- 795
- 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
- 4716
- Möbius Function
- 1
- Radical
- 5509
- 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
- 160
- 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
- Number of loopless multigraphs with 8 nodes and n edges.at n=9A014398
- a(n) = T(n,0) + T(n,1) + ... + T(n,[ n/2 ]), T given by A026714.at n=11A026722
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 50 ones.at n=6A031818
- Numbers k such that k*(k+1)*(k+2)*...*(k+7) / (k+(k+1)+(k+2)+...+(k+7)) is an integer.at n=23A032778
- Multiplicity of highest weight (or singular) vectors associated with character chi_180 of Monster module.at n=38A034568
- Composite numbers whose prime factors contain no digits other than 7 and 8.at n=3A036323
- Numbers k such that 5*7^k + 6 is prime.at n=19A059810
- Row sums of unsigned triangle A062138 (generalized a=5 Laguerre).at n=4A062192
- Lower triangular matrix, read by rows: T(i,j) = number of ways i seats can be occupied by any number k (0<=k<=j<=i) of persons.at n=39A086885
- Numbers k such that N*2^k + 1 is prime where N = 9999999999999999999999988888888888888888887777777777777777766666666666665555555555544444443333322211.at n=15A098467
- a(n) = n^3 - n^2 + 1.at n=18A100104
- Indices of primes in sequence defined by A(0) = 39, A(n) = 10*A(n-1) - 41 for n > 0.at n=17A101834
- Numbers k such that k^6+6 is prime.at n=25A109836
- Expansion of (1 - x + 2*x^2) / (1 - x^3 + x^4).at n=50A110062
- Shadow of N (natural numbers), also of Champernowne's shadow.at n=38A110623
- Row sums of A117683.at n=11A117684
- a(1) = a(2) = 1, a(n) = A007947(a(n-1)) + a(n-2), for n >= 3, i.e., a(n) = a(n-2) plus the largest squarefree divisor of a(n-1).at n=22A121368
- Numbers k such that 1 + k + k^3 + k^5 + k^7 + k^9 + k^11 + k^13 + k^15 + k^17 + k^19 + k^21 + k^23 + k^25 + k^27 + k^29 + k^31 + k^33 + k^35 + k^37 + k^39 + k^41 + k^43 is prime.at n=45A124200
- Limiting values of A136406: a(n) = A136406(m,m-n) for any m >= 2n.at n=23A137504
- a(n) = Frobenius number for 3 successive primes = F[p(n), p(n+1), p(n+2)].at n=36A138989