717,810

2 × 3 × 5 × 71 × 337

Starting at 717,810, the Collatz iteration reaches 1 after 167 steps. The first transition is 358905; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 71 × 337

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 1,752,192

Proper Divisor Sum 1,034,382

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #717803 ← → #717811

Radix Representation

Decimal	717810
Binary	10101111001111110010 (20 bits)
Octal	0o2571762
Hexadecimal	0xAF3F2

Divisor Catalog (32)

1 2 3 5 6 10 15 30 71 142 213 337 355 426 674 710 1,011 1,065 1,685 2,022 2,130 3,370 5,055 10,110 23,927 47,854 71,781 119,635 143,562 239,270 358,905 717,810

Collatz Trajectory (167 steps to reach 1)

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

717,810 358,905 1,076,716 538,358 269,179 807,538 403,769 1,211,308 605,654 302,827 908,482 454,241 1,362,724 681,362 340,681 1,022,044 511,022 255,511 766,534 383,267 1,149,802 574,901 1,724,704 862,352 431,176 215,588 107,794 53,897 161,692 80,846 40,423 121,270 60,635 181,906 90,953 272,860 136,430 68,215 204,646 102,323 306,970 153,485 460,456 230,228 115,114 57,557 172,672 86,336 43,168 21,584 10,792 5,396 2,698 1,349 4,048 2,024 1,012 506 253 760

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