8315
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 9984
- Proper Divisor Sum (Aliquot Sum)
- 1669
- 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
- 6648
- Möbius Function
- 1
- Radical
- 8315
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
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
- 202
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Crystal ball sequence for diamond.at n=21A007904
- Numbers that are divisible by 5 and are the difference between two (different positive) cubes in at least one way.at n=36A038853
- Numbers ending with '5' that are the difference of two positive cubes.at n=25A038860
- a(n) = (n+5)^3 - n^3.at n=21A038867
- Molien series for group G_{1,2}^{8} of order 1536.at n=26A051462
- Numbers k such that 60*R_k + 1 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=21A056658
- Numbers k such that the smoothly undulating palindromic number(18*10^k - 81)/99 is a prime.at n=7A062214
- Prime(n) divides F(n)-1 where F(n) are the Fibonacci numbers.at n=6A071777
- Values of k such that floor(k*tanh(Pi)) = floor((k+1) tanh(Pi)).at n=30A096613
- Positive integers i for which A112049(i) == 7.at n=18A112067
- Numbers which are the sum of 3 cubes of distinct odd primes.at n=23A138853
- Numbers which are the sum of three cubes of distinct primes.at n=42A138854
- Numerator of Laguerre(n, -9).at n=4A160601
- Integers of the form 4n+3 for which Sum_{i=1..u} J(i,4n+3) obtains value zero exactly 7 times, when u ranges from 1 to (4n+3). Here J(i,k) is the Jacobi symbol.at n=8A166057
- Semiprimes which are the sum of three distinct positive cubes in two or more distinct ways.at n=8A180089
- Number of (w,x,y) with all terms in {0,...,n} and |w-x| + |x-y| > w+x+y.at n=20A213482
- a(n) = Sum_{i=0..n} digsum_6(i)^3, where digsum_6(i) = A053827(i).at n=45A231674
- Integers n such that n-th prime divides the n-th golden rectangle number.at n=7A271332
- Decimal representation of the diagonal from the corner to the origin of the n-th stage of growth of the two-dimensional cellular automaton defined by "Rule 421", based on the 5-celled von Neumann neighborhood.at n=30A288066
- a(n) = a(n-1) + a(n-2) + a(n-3) - 2*a(n-4) for n >= 5, where a(0) = 2, a(1) = 4, a(2) = 5, a(3) = 8, a(4) = 11.at n=20A288523