9899
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 35
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 10440
- Proper Divisor Sum (Aliquot Sum)
- 541
- 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
- 9360
- Möbius Function
- 1
- Radical
- 9899
- 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
- a(n) = floor(n*phi^13), where phi is the golden ratio, A001622.at n=19A004928
- a(n) = round(n*phi^13), where phi is the golden ratio, A001622.at n=19A004948
- Positions of remoteness 3 in Beans-Don't-Talk.at n=39A005695
- Expansion of x^2*(2 - x + x^2) / ((1 + x)*(1 - x)^4).at n=37A026035
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 99.at n=9A031597
- Denominators of continued fraction convergents to sqrt(51).at n=4A041087
- Denominators of continued fraction convergents to sqrt(204).at n=8A041379
- Denominators of continued fraction convergents to sqrt(459).at n=8A041875
- Denominators of continued fraction convergents to sqrt(816).at n=8A042575
- Numbers having three 9's in base 10.at n=17A043527
- Numbers whose base-5 representation contains exactly two 0's and three 4's.at n=27A045213
- Thickened pyramidal numbers: a(n) = 2*(n+1)*n + Sum_{i=1..n} (4*i*(i-1) + 1).at n=19A050533
- Engel expansion of Sum_{k>=0} 1/(2 + k)^k.at n=11A063185
- a(n) is the smallest k such that (k^3 + 1)/(n^3 + 1) is an integer > 1.at n=31A065964
- Smallest composite number with digit sum n.at n=34A067524
- Frobenius number of the numerical semigroup generated by 3 consecutive triangular numbers.at n=21A069755
- a(n) is the smallest composite number with the sum of digits = the n-th composite number.at n=22A073866
- (p^2-5)/4 for odd primes p.at n=44A074367
- a(n) = sqrt(A084004(n)).at n=10A084005
- a(n) = 100^n - 10^n - 1.at n=1A086695