571,896

2³ × 3² × 13² × 47

Starting at 571,896, the Collatz iteration reaches 1 after 128 steps. The first transition is 285948; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 13^2 × 47

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 1,712,880

Proper Divisor Sum 1,140,984

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #571877 ← → #571903

Radix Representation

Decimal	571896
Binary	10001011100111111000 (20 bits)
Octal	0o2134770
Hexadecimal	0x8B9F8

Divisor Catalog (60 of 72)

1 2 3 4 6 8 9 12 13 18 24 26 36 39 47 52 72 78 94 104 117 141 156 169 188 234 282 312 338 376 423 468 507 564 611 676 846 936 1,014 1,128 1,222 1,352 1,521 1,692 1,833 2,028 2,444 3,042 3,384 3,666 4,056 4,888 5,499 6,084 7,332 7,943 10,998 12,168 14,664 15,886

Collatz Trajectory (128 steps to reach 1)

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

571,896 285,948 142,974 71,487 214,462 107,231 321,694 160,847 482,542 241,271 723,814 361,907 1,085,722 542,861 1,628,584 814,292 407,146 203,573 610,720 305,360 152,680 76,340 38,170 19,085 57,256 28,628 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635

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