8,709,258

2 × 3 × 19 × 241 × 317

Starting at 8,709,258, the Collatz iteration reaches 1 after 243 steps. The first transition is 4354629; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 241 × 317

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,469,440

Proper Divisor Sum 9,760,182

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #8709257 ← → #8709271

Radix Representation

Decimal	8709258
Binary	100001001110010010001010 (24 bits)
Octal	0o41162212
Hexadecimal	0x84E48A

Divisor Catalog (32)

1 2 3 6 19 38 57 114 241 317 482 634 723 951 1,446 1,902 4,579 6,023 9,158 12,046 13,737 18,069 27,474 36,138 76,397 152,794 229,191 458,382 1,451,543 2,903,086 4,354,629 8,709,258

Collatz Trajectory (243 steps to reach 1)

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

8,709,258 4,354,629 13,063,888 6,531,944 3,265,972 1,632,986 816,493 2,449,480 1,224,740 612,370 306,185 918,556 459,278 229,639 688,918 344,459 1,033,378 516,689 1,550,068 775,034 387,517 1,162,552 581,276 290,638 145,319 435,958 217,979 653,938 326,969 980,908 490,454 245,227 735,682 367,841 1,103,524 551,762 275,881 827,644 413,822 206,911 620,734 310,367 931,102 465,551 1,396,654 698,327 2,094,982 1,047,491 3,142,474 1,571,237 4,713,712 2,356,856 1,178,428 589,214 294,607 883,822 441,911 1,325,734 662,867 1,988,602

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