8090
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 14580
- Proper Divisor Sum (Aliquot Sum)
- 6490
- 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
- 3232
- Möbius Function
- -1
- Radical
- 8090
- 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
- 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
- Perrin sequence (or Perrin numbers, or Ondrej Such sequence): a(n) = a(n-2) + a(n-3) with a(0) = 3, a(1) = 0, a(2) = 2.at n=32A001608
- Partitioning integers to avoid arithmetic progressions of length 3.at n=21A006999
- McKay-Thompson series of class 30B for the Monster group with a(0) = 0.at n=32A058613
- Numbers k such that the number of primes between k and 2k (inclusive) is equal to the number of primes between k and reverse(k) (inclusive).at n=21A074814
- The q expansion of Lambda^5, a Hauptmodul for Gamma_1(5).at n=22A078905
- Numbers k such that p(k), p(k)+6, p(k)+12, p(k)+18 are consecutive primes, where p(k) denotes k-th prime.at n=28A090832
- Numbers n such that if p=prime(n), then p, p+6, p+12, p+18 are consecutive primes with p=6*k+5 for some k, where prime(n) denotes n-th prime.at n=14A090835
- Expansion of ( 2+x+2*x^2 ) / ( 1-2*x+x^2-x^3 ).at n=14A109377
- Numbers n such that sigma(n)=2n-phi(phi(n)).at n=10A110073
- a(n) = floor(r^n) where r is the smallest Pisot number (real root r=1.3247179... of x^3-x-1).at n=32A112639
- Perrin numbers for which the sum of the digits is also a Perrin number.at n=9A117593
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, 0, 1), (-1, 1, 1), (0, -1, 1), (1, 1, 0)}.at n=8A149268
- The sequence is a lattice filling using the exponential "E" constant digits base ten.at n=3A152182
- a(n) = 81n^2 - n.at n=9A157953
- a(n) = 324n^2 - 2n.at n=4A158305
- a(n) = 100*n^2 - 10.at n=8A158490
- Sums of prime points found in four grids in each corner of a square.at n=31A161190
- Lower Wythoff values for sequence A185615(n).at n=20A185616
- Inverse permutation to A190134.at n=8A190135
- Number of nX3 0..2 arrays with values 0..2 introduced in row major order, the number of instances of each value within one of each other, and every element equal to one or two horizontal or vertical neighbors.at n=5A199036