587,568

2⁴ × 3 × 12241

Starting at 587,568, the Collatz iteration reaches 1 after 66 steps. The first transition is 293784; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 12241

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 1,518,008

Proper Divisor Sum 930,440

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #587563 ← → #587579

Radix Representation

Decimal	587568
Binary	10001111011100110000 (20 bits)
Octal	0o2173460
Hexadecimal	0x8F730

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 12,241 24,482 36,723 48,964 73,446 97,928 146,892 195,856 293,784 587,568

Collatz Trajectory (66 steps to reach 1)

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

587,568 293,784 146,892 73,446 36,723 110,170 55,085 165,256 82,628 41,314 20,657 61,972 30,986 15,493 46,480 23,240 11,620 5,810 2,905 8,716 4,358 2,179 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20

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