6270
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 17280
- Proper Divisor Sum (Aliquot Sum)
- 11010
- 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
- 1440
- Möbius Function
- -1
- Radical
- 6270
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 5
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
- 62
- 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
- a(n) = floor( n*(n-1)*(n-2)/28 ).at n=57A011910
- a(n) = floor( n*(n-1)*(n-2)*(n-3)/28 ).at n=22A011938
- Orders of cyclotomic polynomials containing a coefficient the absolute value of which is >= 5.at n=23A013593
- a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3).at n=36A024312
- Numbers having four 0's in base 5.at n=31A043352
- Products of exactly 5 distinct primes.at n=9A046387
- T(n,n+2), array T as in A004730.at n=7A047037
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= n/2.at n=22A047170
- Number of nonempty subsets of {1,2,...,n} in which exactly 5/6 of the elements are <= (n-1)/2.at n=22A047181
- Numbers that are divisible by exactly 5 different primes.at n=11A051270
- Number of hexagonal polyominoes (or polyhexes, A000228) with perimeter 2n.at n=15A057779
- Unitary untouchable numbers: us(x) = n has no solution where us(x) (A063919) is the sum of the proper unitary divisors of x.at n=42A063948
- Numbers j such that j and 2j are both between a pair of twin primes.at n=9A066388
- Integers which have at least two different factorizations into coprime parts whose sum are equal.at n=22A069064
- Products of members of pairs in A075333.at n=19A075337
- Integers k such that omega(k) = omega(k-1) + omega(k-2) + omega(k-3), where omega(n) is the number of distinct prime factors of n.at n=4A076252
- Numbers k such that both k and 2*k are balanced numbers (A020492).at n=18A076375
- Numbers k such that k, 2*k and 4*k are balanced numbers (A020492).at n=8A076376
- Squarefree balanced numbers (i.e., squarefree members of A020492).at n=27A078557
- Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(60+I*11)/61.at n=32A084804