6858
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 15360
- Proper Divisor Sum (Aliquot Sum)
- 8502
- 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
- 2268
- Möbius Function
- 0
- Radical
- 762
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 31
- 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
- a(n) is nonsquarefree and is sum of first k nonsquarefrees for some k.at n=31A013935
- Gaps of 7 in sequence A038593 (upper terms).at n=22A038654
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=23A038852
- Numbers ending with '8' that are the difference of two positive cubes.at n=25A038863
- a(n) = Sum_{d|n, n/d=1 mod 4} d^3 - Sum_{d|n, n/d=3 mod 4} d^3.at n=18A050471
- Numbers k such that k^18 == 1 (mod 19^3).at n=17A056089
- Jordan function J_3(n).at n=18A059376
- For even n>=4, let f(n)=A066285(n/2) be the minimal difference between primes p and q whose sum is n. This sequence contains the successive maxima of f.at n=53A066286
- Numbers k such that Euler phi(k) / Carmichael lambda(k) = 18.at n=34A066697
- a(n) = n^3 - 1.at n=18A068601
- Least number initiating a chain of n consecutive numbers each of which has maximal prime exponent exactly 3.at n=2A072072
- Numbers sandwiched between two numbers having only one prime divisor (at least) one of which is composite.at n=22A088072
- Numbers k such that 7*10^k + 9 is prime.at n=25A097954
- Period of the Lucas 4-step sequence A073817 mod n.at n=18A106295
- Period of the Lucas 4-step sequence A073817 mod prime(n).at n=7A106296
- Partial sums of A130237.at n=41A130238
- Positive X-values of solutions to the equation 1!*X^4 - 2!*(X + 1)^3 + 3!*(X + 2)^2 - (4^2)*(X + 3) + 5^2 = Y^3.at n=18A135300
- a(n) = 361*n - 1.at n=18A158308
- Numbers n with following property: let c = nearest cube to n that is different from n and let p = nearest prime to n that is different from n. Then |n-c| = |n-p|.at n=17A163497
- Numbers such that the two adjacent integers are a perfect cube and a prime.at n=5A164834