8,735,586

2 × 3 × 17 × 85643

Starting at 8,735,586, the Collatz iteration reaches 1 after 168 steps. The first transition is 4367793; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 85643

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 18,499,104

Proper Divisor Sum 9,763,518

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #8735581 ← → #8735609

Radix Representation

Decimal	8735586
Binary	100001010100101101100010 (24 bits)
Octal	0o41245542
Hexadecimal	0x854B62

Divisor Catalog (16)

1 2 3 6 17 34 51 102 85,643 171,286 256,929 513,858 1,455,931 2,911,862 4,367,793 8,735,586

Collatz Trajectory (168 steps to reach 1)

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

8,735,586 4,367,793 13,103,380 6,551,690 3,275,845 9,827,536 4,913,768 2,456,884 1,228,442 614,221 1,842,664 921,332 460,666 230,333 691,000 345,500 172,750 86,375 259,126 129,563 388,690 194,345 583,036 291,518 145,759 437,278 218,639 655,918 327,959 983,878 491,939 1,475,818 737,909 2,213,728 1,106,864 553,432 276,716 138,358 69,179 207,538 103,769 311,308 155,654 77,827 233,482 116,741 350,224 175,112 87,556 43,778 21,889 65,668 32,834 16,417 49,252 24,626 12,313 36,940 18,470 9,235

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