585,045

3² × 5 × 13001

Starting at 585,045, the Collatz iteration reaches 1 after 40 steps. The first transition is 1755136; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 13001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,014,156

Proper Divisor Sum 429,111

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #585043 ← → #585049

Radix Representation

Decimal	585045
Binary	10001110110101010101 (20 bits)
Octal	0o2166525
Hexadecimal	0x8ED55

Divisor Catalog (12)

1 3 5 9 15 45 13,001 39,003 65,005 117,009 195,015 585,045

Collatz Trajectory (40 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

585,045 1,755,136 877,568 438,784 219,392 109,696 54,848 27,424 13,712 6,856 3,428 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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