9057
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12080
- Proper Divisor Sum (Aliquot Sum)
- 3023
- 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
- 6036
- Möbius Function
- 1
- Radical
- 9057
- 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
- 78
- Smith Number
- no
- 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
- Powers of cube root of 12 rounded down.at n=11A018009
- Powers of cube root of 12 rounded to nearest integer.at n=11A018010
- Numbers k such that the continued fraction for sqrt(k) has period 74.at n=27A020413
- a(1) = 5; a(n+1) = a(n)-th nonprime, where nonprimes begin at 4.at n=31A025010
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 62.at n=41A031560
- Sizes of successive clusters in Z^4 lattice.at n=42A046895
- Becomes prime or 4 after exactly 8 iterations of f(x) = sum of prime factors of x.at n=35A048130
- Integers n > 7059 such that the 'Reverse and Add!' trajectory of n joins the trajectory of 7059.at n=20A063058
- Numbers n such that both n^4 + 2 and n^4 - 2 are prime.at n=39A071351
- Number of permutations satisfying -k<=p(i)-i<=r and p(i)-i not in I, i=1..n, with k=2, r=2, I={1}.at n=16A080014
- Partial sums of A003325.at n=32A139211
- a(n) is the n-th J_10-prime (Josephus_10 prime).at n=7A163790
- Number of (n+1) X 2 0..2 matrices with each 2 X 2 subblock idempotent.at n=13A224669
- a(n) = floor(M(g(n-1)+1, ..., g(n))), where M = harmonic mean and g(n) = n^3 + n^2 + n + 1.at n=20A227015
- Number of black square subarrays of (n+1) X (2+1) binary arrays with no element equal to a strict majority of its diagonal and antidiagonal neighbors, with upper left element zero.at n=13A231067
- The number of tilings of a 5 X (4n) floor with 1 X 4 tetrominoes.at n=6A236579
- Number of n X 3 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.at n=7A279704
- T(n,k)=Number of nXk 0..1 arrays with no element equal to a strict majority of its horizontal and antidiagonal neighbors and with new values introduced in order 0 sequentially upwards.at n=52A279709
- a(n) is obtained by applying the map k -> composite(k) n times, starting at n.at n=27A280327
- 9th-power analog of Keith numbers.at n=8A281920