9416
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 19440
- Proper Divisor Sum (Aliquot Sum)
- 10024
- 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
- 4240
- Möbius Function
- 0
- Radical
- 2354
- Omega Function (Ω)
- 5
- 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
- 34
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Expansion of 1/(1-x^4-x^5-x^6-x^7-x^8-x^9-x^10).at n=36A017832
- Convolution of natural numbers with Beatty sequence for the golden mean A000201.at n=31A023541
- Expansion of (theta_3(z)*theta_3(19z) + theta_2(z)*theta_2(19z))^4.at n=25A028644
- Number of partitions satisfying cn(0,5) < cn(1,5) + cn(4,5) + cn(2,5) and cn(0,5) < cn(1,5) + cn(4,5) + cn(3,5).at n=32A039846
- Number of partitions of n in which each part occurs an odd number (or zero) times.at n=42A055922
- Numbers n such that phi(4n+1) = sigma(n).at n=5A067234
- Number of anisohedral polyiamonds with n cells.at n=28A075224
- Numbers n such that n + sum of prime factors of n = (n+1) + sum of prime factors of (n+1).at n=16A075654
- Non-balanced numbers in A015771.at n=16A078549
- Double partial sums of (n * its dyadic valuation).at n=38A090889
- Expansion of psi(x^3)^2 / f(-x^2) in powers of x where psi(), f() are Ramanujan theta functions.at n=56A097196
- Row sums in A100781.at n=21A100784
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2 + (x + 97)^2 = y^2.at n=8A129836
- Inverse permutation to A190130.at n=6A190131
- Number of primes of the form x^8 + 1 less than 10^n.at n=44A214454
- Number of partitions p of n such that the multiplicity of 2*min(p) is a part.at n=37A240496
- Numbers n such that 11 is not a divisor of A002805(11*n).at n=14A248979
- Number of (3+2) X (n+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 2 3 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 2 3 6 or 7.at n=9A252535
- Expansion of f(x^3, x^9) * f(x^6, x^6) / f(-x, -x^2) in powers of x where f(,) is Ramanujan's general theta function.at n=28A257655
- a(n) = n*(16*n^2 - 21*n + 7)/2.at n=11A260260