6187
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6480
- Proper Divisor Sum (Aliquot Sum)
- 293
- 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
- 5896
- Möbius Function
- 1
- Radical
- 6187
- 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
- 62
- Smith Number
- yes
- 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
- Exactly 5 digits from {1,2,3,4,5,6,7,8,9} can precede a(n) to form a lucky number.at n=26A032701
- Number of partitions of n such that cn(0,5) = cn(1,5) <= cn(2,5) = cn(4,5) < cn(3,5).at n=66A036863
- Numbers whose base-5 representation contains exactly three 2's and two 4's.at n=19A045291
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/2 of the elements are <= n/3.at n=16A047193
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/2 of the elements are <= (n-1)/3.at n=16A048005
- Number of nonempty subsets of {1,2,...,n} in which exactly 1/2 of the elements are <= (n-2)/3.at n=16A048016
- Composite numbers k such that k!/k# + 1 is prime, where k# = primorial numbers A034386.at n=19A049420
- Smaller of Smith brothers.at n=5A050219
- a(1) = 1; a(n) = sum of terms in the continued fraction for the square of the continued fraction [a(1); a(2), a(3), a(4),..., a(n-1)].at n=36A061143
- a(n) = binomial(n+6,5) - 1.at n=11A062988
- Least positive integers, all distinct, that satisfy sum(n>0,1/a(n)^z)=0, where z=(60+I*11)/61.at n=19A084804
- Number of n-digit 7-smooth numbers (A002473).at n=14A085630
- Nonprime integers n such that n divides A120492(n).at n=25A120329
- Numbers k such that k!/k# + 1 is prime, where k# is the primorial function (A034386).at n=26A140294
- Composite numbers n such that 8*n^2-2*n-1 divides the primitive part U(n) of Fibonacci(n).at n=11A159234
- Positive numbers n such that 8*n^2-2*n-1 divides Fibonacci(n).at n=36A159259
- Numerator of Laguerre(n, -5).at n=5A160609
- a(n) is the smallest term m in A173978 for which A020639(2m-3) = prime(n), n > 1.at n=22A173980
- Number of nondecreasing arrangements of n numbers in -5..5 with sum zero and sum of squares not greater than n*30/3.at n=10A183923
- Number of (n+4)X5 binary arrays with every 5X5 subblock commuting with each horizontal and vertical neighbor 5X5 subblock.at n=1A186601