6057
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 8762
- Proper Divisor Sum (Aliquot Sum)
- 2705
- 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
- 4032
- Möbius Function
- 0
- Radical
- 2019
- Omega Function (Ω)
- 3
- 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
- 186
- 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
- no
- Odd
- yes
Appears in sequences
- Numbers k such that the continued fraction for sqrt(k) has period 62.at n=21A020401
- a(n) = position of 3*n^2 in sequence A025051 (numbers of form j*k + k*i + i*j, without repetitions, where 1 <= i <= j <= k).at n=44A025056
- Number of primes less than 10000n.at n=5A038813
- Denominators of continued fraction convergents to sqrt(855).at n=4A042651
- Numerators of continued fraction convergents to sqrt(955).at n=4A042848
- These numbers take a record number of steps to reach the top of the deck in Guy's shuffle (see A035485).at n=14A057983
- These numbers take a record number of steps to reach the top of the deck in Guy's shuffle (see A060750).at n=12A060751
- Composite numbers k such that the sum of the proper divisors of k not including 1, (Chowla's function, A048050) and their product (A007956) are both perfect squares.at n=21A064180
- Number of conjugacy classes in the symmetric group S_n with distinct cardinality.at n=35A073906
- Coefficient of q^3 in nu(n), where nu(0)=1, nu(1)=b and, for n>=2, nu(n)=b*nu(n-1)+lambda*(1+q+q^2+...+q^(n-2))*nu(n-2) with (b,lambda)=(3,1).at n=8A074363
- a(1) = 9, then the smallest number such that the forward as well as the reverse n-th partial concatenation is a prime for n>1. (Reverse concatenation is taken term-wise and not digit-wise).at n=35A083995
- a(n) = sum of n-th column in array in A100452.at n=18A100454
- a = a(n) is such that the a-th prime p(a) is the least prime with digital sum equal to n, or a(n)=0 if no such prime exists.at n=40A104290
- Positive numbers n such that 8*n^2-2*n-1 divides Fibonacci(n).at n=35A159259
- Convolution of Jacobsthal(n+2) and Pell(n+1).at n=8A166868
- Numbers n such that Mordell's equation y^2 = x^3 + n has exactly 10 integral solutions.at n=30A179153
- Convolution of primes with odd primes.at n=15A209403
- Triangle of coefficients of polynomials v(n,x) jointly generated with A210597; see the Formula section.at n=50A210602
- Difference between 10^n and the first prime of gap 4 > 10^n.at n=38A227432
- Number of non-equivalent (mod D_3) ways to place 3 indistinguishable points on a triangular grid of side n so that no two of them are adjacent.at n=9A239573