9803
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
- 1
Divisibility
- Divisor Count
- 2
- Divisor Sum
- 9804
- Proper Divisor Sum (Aliquot Sum)
- 1
- 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
- 9802
- Möbius Function
- -1
- Radical
- 9803
- Omega Function (Ω)
- 1
- Little Omega Function (ω)
- 1
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
- yes
- Composite Number
- no
- Semiprime
- no
- Squarefree Number
- yes
- Prime Power
- yes
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Prime Index
- 1209
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- Number of graphical partitions of 2n.at n=18A000569
- Percolation series for f.c.c. lattice.at n=17A006806
- a(0) = 1, a(n) = 9*n^2 + 2 for n>0.at n=33A010002
- The $620 prime list.at n=3A018188
- 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=0A031597
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 99.at n=0A031777
- Number of partitions of n with equal number of parts congruent to each of 1 and 3 (mod 5).at n=46A035557
- Numbers k such that k-th and (k+1)-st term of A038593 differ by 4.at n=9A038635
- 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=33A039844
- The sequence e when b=[ 1,0,1,1,1,... ].at n=37A042953
- a(n) = T(n,n-3), array T as in A055818.at n=35A055820
- Primes of the form k^2 + 2.at n=11A056899
- Primes p such that x^29 = 2 has no solution mod p.at n=41A059256
- Least m such that A078142(m) gives the n-th prime, where A078142(n) is the sum of the differences of the distinct prime factors p of n and the next square larger than p.at n=44A073939
- Members of A083989 whose 10's complement is also a member of A083989.at n=19A083991
- Duplicate of A056899.at n=11A089921
- Smallest prime of the form 10^k - prime(n), or 0 if no such prime exists.at n=44A090289
- Primes p such that p - 6 is a product of two consecutive primes.at n=13A098061
- Primes of the form m^k+k, with m and k > 1.at n=14A099227
- Primes of the form 100*n + 3.at n=30A101780