8,702,510

2 × 5 × 23 × 157 × 241

Starting at 8,702,510, the Collatz iteration reaches 1 after 124 steps. The first transition is 4351255; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 157 × 241

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 16,517,952

Proper Divisor Sum 7,815,442

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8702503 ← → #8702539

Radix Representation

Decimal	8702510
Binary	100001001100101000101110 (24 bits)
Octal	0o41145056
Hexadecimal	0x84CA2E

Divisor Catalog (32)

1 2 5 10 23 46 115 157 230 241 314 482 785 1,205 1,570 2,410 3,611 5,543 7,222 11,086 18,055 27,715 36,110 37,837 55,430 75,674 189,185 378,370 870,251 1,740,502 4,351,255 8,702,510

Collatz Trajectory (124 steps to reach 1)

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

8,702,510 4,351,255 13,053,766 6,526,883 19,580,650 9,790,325 29,370,976 14,685,488 7,342,744 3,671,372 1,835,686 917,843 2,753,530 1,376,765 4,130,296 2,065,148 1,032,574 516,287 1,548,862 774,431 2,323,294 1,161,647 3,484,942 1,742,471 5,227,414 2,613,707 7,841,122 3,920,561 11,761,684 5,880,842 2,940,421 8,821,264 4,410,632 2,205,316 1,102,658 551,329 1,653,988 826,994 413,497 1,240,492 620,246 310,123 930,370 465,185 1,395,556 697,778 348,889 1,046,668 523,334 261,667 785,002 392,501 1,177,504 588,752 294,376 147,188 73,594 36,797 110,392 55,196

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