9399
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 13552
- Proper Divisor Sum (Aliquot Sum)
- 4153
- 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
- 5760
- Möbius Function
- -1
- Radical
- 9399
- Omega Function (Ω)
- 3
- 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
- 83
- 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
- no
- Odd
- yes
Appears in sequences
- Eleven iterations of Reverse and Add are needed to reach a palindrome.at n=38A015992
- 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 64.at n=25A031562
- Numbers k such that 77*2^k+1 is prime.at n=11A032388
- Lucky numbers that are decimal concatenations of n with n + 6.at n=12A032656
- Numbers having three 9's in base 10.at n=12A043527
- Numbers whose base-5 representation contains exactly three 0's and two 4's.at n=24A045216
- Harmonic mean of digits is 6.at n=20A062184
- Quotient of A000225 and A064084.at n=23A064085
- Condensed version of A064085: all terms of A064085 with values greater than 1 (which coincides with all terms of A064085 with nonprime power index).at n=9A064086
- Numbers which need eleven 'Reverse and Add' steps to reach a palindrome.at n=36A065216
- Cycle of the inventory sequence (as in A063850) starting with n consists of prime numbers.at n=30A078970
- Numbers of the form (2^(i*j)-1)/((2^i-1)*(2^j-1)) where gcd(i,j) = 1.at n=11A112674
- Number of partitions of n having exactly one part with multiplicity 3.at n=39A118808
- Numbers which are the sum of 3 cubes of distinct odd primes.at n=28A138853
- Numbers k whose sum of digits equals the period of 1/k.at n=28A178495
- a(n)= (4^(2^n) + 2^(2^n) + 1)/7.at n=3A198411
- G.f. satisfies: A(x) = 1/Product_{n>=1} (1 - x^n*A(x^n)^3).at n=6A205774
- a(n) = 3*a(n-3) + 3*a(n-6) + a(n-9) for n>8, a(0)=0, a(1)=a(2)=1, a(3)=a(4)=2, a(5)=3, a(6)=7, a(7)=9, a(8)=11.at n=23A237988
- a(n) = 7*n^2 - 5*n + 1.at n=37A239449
- Numbers m with the property that its k-th smallest divisor, for all 1 <= k <= tau(m), contains exactly k "1" digits in its binary representation.at n=18A255401