9798
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 33
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 20736
- Proper Divisor Sum (Aliquot Sum)
- 10938
- 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
- 3080
- Möbius Function
- 1
- Radical
- 9798
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 135
- 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
- yes
- Odd
- no
Appears in sequences
- Numbers whose sum of divisors is a fourth power.at n=19A019422
- a(n) = prime(n)*prime(n-1) + 1.at n=25A023523
- Denominators of continued fraction convergents to sqrt(306).at n=5A041577
- Expansion of (1-x^2)/(1-2*x^2-x^3+x^5).at n=24A052943
- Numbers n such that phi(3n-1) = sigma(n).at n=43A067232
- a(n)=phi(n^2+1)/n if (n^2+1) is composite and phi(n^2+1)==0 (mod n).at n=24A067926
- Partition the concatenation 1234567...of natural numbers into successive strings which are even, all different and > 2. (0 never taken as the most significant digit.)at n=61A077295
- Partition the concatenation 1234567... of natural numbers into successive strings which are multiples of 3 all different and > 3. (0 never taken as the most significant digit.)at n=61A077296
- Least positive integer multiples of angle x such that their direction cosines form a unit vector: Sum_{k>0} cos(a(k)*x)^2 = 1, where a(1)=1, a(n+1)>a(n) and x=5/4.at n=46A080198
- Nontrivial slowest increasing sequence whose succession of digits is that of the nonnegative integers.at n=49A098080
- a(n) = largest number with n+1 digits and without zero digits whose squares have maximal number of zero digits = A135215(n+1).at n=2A135219
- a(n) = 9*n^2 - 3.at n=32A157872
- Row sums of A163334 and A163336 divided by 6.at n=36A163479
- Numbers n such that sigma(lambda(n)) = lambda(sigma(n)).at n=25A173942
- Numbers with rounded up arithmetic mean of digits = 9.at n=31A178369
- Number of nX3 0..1 arrays avoiding 0 0 0 and 0 1 0 horizontally and 0 0 0 and 0 1 1 vertically.at n=8A207903
- Number of (n+1)X(1+1) 0..1 arrays x(i,j) with row sums sum{j^2*x(i,j), j=1..1+1} nondecreasing, and column sums sum{i^2*x(i,j), i=1..n+1} nondecreasing.at n=40A232871
- Number of partitions p of n such that the number of parts is a part and max(p) - min(p) is not a part.at n=45A241384
- Number of partitions of n with difference -5 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=41A242687
- Number of permutations s_1,s_2,...,s_n of 1,2,...,n such that for all j=1,2,...,n, Sum_{i=1..j} s_i divides Sum_{i=1..j} s_i^3.at n=11A291445