9019
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
- 9360
- Proper Divisor Sum (Aliquot Sum)
- 341
- 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
- 8680
- Möbius Function
- 1
- Radical
- 9019
- 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
- 39
- 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 78.at n=23A020417
- Denominators of continued fraction convergents to sqrt(115).at n=13A041209
- Numbers n such that 205*2^n-1 is prime.at n=20A050854
- Representative lunar primes.at n=26A088574
- a(1)=1; for n>1, a(n) = Sum_{k=1..n-1} a(k) * floor(n/k).at n=12A126656
- a(n) = n*(n^2 + 3*n + 5)/3.at n=29A145069
- a(n) = 4*n^2 + 12*n + 3.at n=45A153169
- a(n) = Sum_{k=1..n} lcm(k,k')/gcd(k,k'), where n' is arithmetic derivative of n.at n=45A190120
- Number of n X n 0..n-1 arrays with no column j greater than or equal to than column j-1 in all rows.at n=2A212937
- Number of n X 3 0..2 arrays with no column j greater than or equal to than column j-1 in all rows.at n=2A212938
- T(n,k)=Number of nXk 0..k-1 arrays with no column j greater than or equal to than column j-1 in all rows.at n=12A212943
- Number of 3Xn 0..n-1 arrays with no column j greater than or equal to than column j-1 in all rows.at n=2A212945
- Unmatched value maps: number of nX7 binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..2 nX7 array.at n=1A219001
- T(n,k)=Unmatched value maps: number of nXk binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..2 nXk array.at n=29A219002
- Unmatched value maps: number of 2 X n binary arrays indicating the locations of corresponding elements not equal to any horizontal, diagonal or antidiagonal neighbor in a random 0..2 2 X n array.at n=6A219003
- Numbers n such that 2*n + {3, 5, 9, 11} are all primes.at n=16A222960
- Values of n such that L(14) and N(14) are both prime, where L(k) = (n^2+n+1)*2^(2*k) + (2*n+1)*2^k + 1, N(k) = (n^2+n+1)*2^k + n.at n=28A227517
- Number of partitions p of n such that (number of even numbers in p) <= (number of odd numbers in p).at n=34A241637
- Numbers n such that A = n - digitsum(n) is divisible by the largest power of 10 <= A.at n=38A242474
- Semiprimes whose binary and ternary representations are prime when read in decimal.at n=10A279052