579,734

2 × 17³ × 59

Starting at 579,734, the Collatz iteration reaches 1 after 84 steps. The first transition is 289867; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 17^3 × 59

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 939,600

Proper Divisor Sum 359,866

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #579721 ← → #579737

Radix Representation

Decimal	579734
Binary	10001101100010010110 (20 bits)
Octal	0o2154226
Hexadecimal	0x8D896

Divisor Catalog (16)

1 2 17 34 59 118 289 578 1,003 2,006 4,913 9,826 17,051 34,102 289,867 579,734

Collatz Trajectory (84 steps to reach 1)

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

579,734 289,867 869,602 434,801 1,304,404 652,202 326,101 978,304 489,152 244,576 122,288 61,144 30,572 15,286 7,643 22,930 11,465 34,396 17,198 8,599 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616

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