6586
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10260
- Proper Divisor Sum (Aliquot Sum)
- 3674
- 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
- 3168
- Möbius Function
- -1
- Radical
- 6586
- Omega Function (Ω)
- 3
- 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
- 137
- 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)/9).at n=40A011891
- Numbers k such that the continued fraction for sqrt(k) has period 19.at n=38A020358
- Divide natural numbers in groups with prime(n) elements and add together.at n=11A034957
- Numbers n such that there are equal numbers of 0's and 1's in first n digits of binary representation of Pi.at n=33A039624
- Numbers k such that k!!!! + 1 is prime.at n=22A085146
- Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 37, the first irregular prime.at n=23A092230
- Numbers with composite sum of digits and prime sum of cubes of digits.at n=26A121642
- One half of (n-th sum of primes between successive pairs of twin primes minus n-th number of primes between successive pairs of twin primes).at n=29A168433
- a(n) = 3^n + 3*n + 1.at n=8A176805
- Numbers 1 through 10000 sorted lexicographically in ternary representation.at n=43A190128
- Number of (n+1)X3 0..2 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing.at n=2A203959
- Number of (n+1)X4 0..2 arrays with column and row pair sums b(i,j)=a(i,j)+a(i,j-1) and c(i,j)=a(i,j)+a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing.at n=1A203960
- T(n,k) is the number of (n+1) X (k+1) 0..2 arrays with column and row pair sums b(i,j) = a(i,j) + a(i,j-1) and c(i,j) = a(i,j) + a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing.at n=7A203965
- T(n,k) is the number of (n+1) X (k+1) 0..2 arrays with column and row pair sums b(i,j) = a(i,j) + a(i,j-1) and c(i,j) = a(i,j) + a(i-1,j) such that rows of b(i,j) and columns of c(i,j) are lexicographically nondecreasing.at n=8A203965
- Numbers of the form 3^j + 5^k, for j and k >= 0.at n=49A226809
- Numbers of the form 5^j + 9^k, for j and k >= 0.at n=26A226829
- Number of set partitions of [n] with alternating parity of elements.at n=11A274547
- The number of partitions of n which represent Chomp positions with Sprague-Grundy value 1.at n=49A284687
- 7*x - 1 Collatz-type sequence starting with a(0) = 11.at n=25A287330
- Partial sums of A301718.at n=48A301719