9082
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14400
- Proper Divisor Sum (Aliquot Sum)
- 5318
- 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
- 4284
- Möbius Function
- -1
- Radical
- 9082
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 65
- 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
- Number of partitions of n into parts not of the form 21k, 21k+8 or 21k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 9 are greater than 1.at n=33A035986
- Number of partitions satisfying cn(2,5) <= cn(1,5) + cn(4,5) and cn(3,5) <= cn(1,5) + cn(4,5).at n=33A039891
- Squares of 1 and primes, written backwards.at n=16A060998
- Sum of the reciprocals of the partitions of n enumerated in A058360.at n=48A066824
- a(n) = A078218(n)/n.at n=13A078810
- Odd squares written backwards and sorted.at n=38A107313
- Row sums of triangle defined in A113821.at n=25A160969
- a(1)=1; a(n+1) = Reverse((1 + a(n))^2).at n=3A193914
- Number of n X 2 (0,1,2) arrays of permanents of 2 X 2 subblocks of some (n+1) X 3 binary array with rows and columns of the latter in lexicographically nondecreasing order.at n=10A227021
- Consider a number n with m decimal digits. The sequence lists the numbers n having the suffix of length m-1 in the middle of the decimal expansion of n^2.at n=33A242964
- Numbers n that have an equal number of even and odd values of A001221(k) for 1 <= k <= n.at n=38A275547
- Positions of 2's in A264977; positions of 3's in A277330.at n=38A277712
- Numbers k such that (7*10^k + 107)/3 is prime.at n=18A282667
- Numbers k such that (19*10^k + 413)/9 is prime.at n=17A293684
- Number of strict (distinct parts) plane partitions of n with relatively prime parts.at n=32A323587
- Number of integer partitions of n with parts disjoint from first differences of parts, meaning no part is the difference of two consecutive parts.at n=44A363260
- The number of possible values that can be obtained for the Shannon diversity index across all partitions of n.at n=37A383683