573,430

2 × 5 × 11 × 13 × 401

Starting at 573,430, the Collatz iteration reaches 1 after 133 steps. The first transition is 286715; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 13 × 401

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,215,648

Proper Divisor Sum 642,218

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #573409 ← → #573437

Radix Representation

Decimal	573430
Binary	10001011111111110110 (20 bits)
Octal	0o2137766
Hexadecimal	0x8BFF6

Divisor Catalog (32)

1 2 5 10 11 13 22 26 55 65 110 130 143 286 401 715 802 1,430 2,005 4,010 4,411 5,213 8,822 10,426 22,055 26,065 44,110 52,130 57,343 114,686 286,715 573,430

Collatz Trajectory (133 steps to reach 1)

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

573,430 286,715 860,146 430,073 1,290,220 645,110 322,555 967,666 483,833 1,451,500 725,750 362,875 1,088,626 544,313 1,632,940 816,470 408,235 1,224,706 612,353 1,837,060 918,530 459,265 1,377,796 688,898 344,449 1,033,348 516,674 258,337 775,012 387,506 193,753 581,260 290,630 145,315 435,946 217,973 653,920 326,960 163,480 81,740 40,870 20,435 61,306 30,653 91,960 45,980 22,990 11,495 34,486 17,243 51,730 25,865 77,596 38,798 19,399 58,198 29,099 87,298 43,649 130,948

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