5866
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
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 4214
- 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
- 2508
- Möbius Function
- -1
- Radical
- 5866
- 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
- 98
- 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
- Coordination sequence T1 for Zeolite Code MTN.at n=46A008186
- Coordination sequence T1 for Cordierite.at n=46A008251
- Molien series for A_6.at n=43A008629
- Numbers k such that the continued fraction for sqrt(k) has period 64.at n=28A020403
- a(n) = n*(15*n - 1)/2.at n=28A022272
- a(n) = a(n-1) + a(n-2) + 1, with a(0) = 0 and a(1) = 8.at n=15A022313
- a(n) = dot_product(1,2,...,n)*(7,8,...,n,1,2,3,4,5,6).at n=21A026049
- Numbers whose base-4 representation contains exactly two 1's and four 2's.at n=28A045099
- Numbers k such that 5*2^k - 7 is prime.at n=24A059749
- a(n) is the number of pairs of integer quadruples (b_1, b_2, b_3, b_4) and (c_1, c_2, c_3, c_4) satisfying 1 <= b_1 < b_2 < b_3 < b_4 < n, 1 <= c_1 < c_2 < c_3 < c_4 < n, b_i != c_j for all i,j = 1,2,3,4 and Product_{i=1..4} cos(2*Pi*b_i/n) = Product_{i=1..4} cos(2*Pi*c_i/n).at n=24A063780
- Total number of right truncatable primes in base n.at n=27A076586
- G.f.: 1/((1-x)^2*(1-x^2)*(1-x^4)*(1-x^8)).at n=47A088932
- Numbers with composite sum of digits and prime sum of cubes of digits.at n=23A121642
- Number of integer-sided pentagons having perimeter n.at n=39A124285
- a(n) = prime(prime(A028815(n) - 1) - 1) - 1.at n=33A141136
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (-1, 0, 0), (1, 0, 1), (1, 1, 0)}.at n=7A150366
- a(n) = floor(sqrt(2*n^5)).at n=28A172473
- Number of increasing sequences of n integers x(1),...,x(n) with values in 1..4*n such that x(j) divides x(k) iff j divides k.at n=28A180381
- Numbers k such that (10^(2k+1) - 6*10^k - 1)/3 is prime.at n=15A183174
- Pairs of numbers a, b for which sigma*(a)=b and sigma(b)-b-1=a, where sigma*(n) is the sum of the anti-divisors of n.at n=9A192292