8216
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
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 16800
- Proper Divisor Sum (Aliquot Sum)
- 8584
- 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
- 3744
- Möbius Function
- 0
- Radical
- 2054
- Omega Function (Ω)
- 5
- 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
- 39
- 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
- Number of compositions of n into 4 ordered relatively prime parts.at n=35A000742
- Number of nonequivalent dissections of a polygon into n pentagons by nonintersecting diagonals rooted at a cell up to rotation and reflection.at n=6A005039
- a(n) = 6*n^2 + 2 for n > 0, a(0)=1.at n=37A005897
- Coordination sequence for NiAs(1), As position.at n=37A009943
- a(n) = floor( n*(n-1)*(n-2)/29 ).at n=63A011911
- a(n) = (prime(n+2)^2 - 1)/3.at n=34A024700
- Numbers ending with '6' that are the difference of two positive cubes.at n=31A038861
- Numerators of continued fraction convergents to sqrt(280).at n=6A041526
- Numbers whose base-4 representation contains exactly four 0's and two 2's.at n=25A045059
- Digits d in decimal expansion of n replaced with d^3.at n=26A048390
- Numbers n such that 155*2^n-1 is prime.at n=16A050619
- Numbers that are the sum of two (possibly negative) cubes in at least 2 ways.at n=28A051347
- Numbers whose 4th power can be expressed as the sum of two positive cubes in more than one way.at n=6A051388
- a(n) = Sum_{d|n} phi(d)*2^(n/d).at n=13A053635
- a(n) = Sum_{odd d|n} phi(d)*2^(n/d).at n=13A053636
- Numbers k such that k and k+1 have the same sum of unitary divisors (A034448).at n=19A064125
- Number of compositions of n into Fibonacci numbers (1 counted as single Fibonacci number).at n=15A076739
- Number of intersections between a sphere inscribed in a cube and the n X n X n cubes resulting from a cubic lattice subdivision of the enclosing cube.at n=40A085690
- Numbers n such that 2*p(n)+3, 2*p(n+1)+3, 2*p(n+2)+3 are consecutive primes, where p(i) denotes the i-th prime.at n=9A088066
- Numbers which are the sum of two positive cubes and divisible by 13.at n=39A094447