8082
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 17550
- Proper Divisor Sum (Aliquot Sum)
- 9468
- 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
- 2688
- Möbius Function
- 0
- Radical
- 2694
- Omega Function (Ω)
- 4
- 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
- 145
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=36A002653
- Coordination sequence for 4-dimensional RR-centered di-isohexagonal orthogonal lattice.at n=9A008528
- a(n) = T(2n-1,n-2), T given by A026769.at n=5A026774
- Numbers whose base-6 representation has exactly 6 runs.at n=35A043614
- Sum of sigma(j) for 1<=j<10^n, where sigma(j) is the sum of divisors of j.at n=2A049000
- Numbers k such that 277*2^k + 1 is prime.at n=23A053355
- For each pair of twin primes (p,p+2) take the absolute value of the difference between p and p with digits reversed.at n=35A088489
- Expansion of (1-4*x+6*x^2-3*x^3)/((1-3*x)*(1-2*x)*(1-3*x+x^2)).at n=7A089883
- Integers n such that 9*10^n + 11 is a prime number.at n=16A111023
- Triangle of numbers, called Y(1,3), related to generalized Catalan numbers A064063(n) = C(3;n).at n=18A116868
- a(1) = a(2) = 1, a(n) = A007947(a(n-1)) + a(n-2), for n >= 3, i.e., a(n) = a(n-2) plus the largest squarefree divisor of a(n-1).at n=23A121368
- Numbers k for which 14*k+1, 14*k+5, 14*k+11 and 14*k+13 are primes.at n=27A123987
- a(1) = 1, a(2) = 2; for n > 1, a(n) = sum of the next two smallest integers > a(n-1) which are coprime to the sum s = a(1) + ... + a(n-1).at n=11A131357
- a(1) = 1113; thereafter a(n) = (a(n-1) with digits sorted into descending order) - (a(n-1) with digits sorted into ascending order) (see the Kaprekar map, A151949).at n=2A151951
- a(n) = 25*n^2 - n.at n=17A157514
- a(n) = 100*n^2 - 2*n.at n=9A158129
- a(n) = 324*n^2 - 18.at n=4A158589
- Nimsum of pairs of consecutive Lucas numbers.at n=19A165794
- a(n) = Sum of all divisors of all numbers < (n+1)^2.at n=8A168013
- Second terms "b" of quadruples a>b>c>d>0 with six square pairwise sums.at n=36A175536