8,682,136

2³ × 29 × 37423

Starting at 8,682,136, the Collatz iteration reaches 1 after 256 steps. The first transition is 4341068; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 29 × 37423

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,840,800

Proper Divisor Sum 8,158,664

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #8682133 ← → #8682143

Radix Representation

Decimal	8682136
Binary	100001000111101010011000 (24 bits)
Octal	0o41075230
Hexadecimal	0x847A98

Divisor Catalog (16)

1 2 4 8 29 58 116 232 37,423 74,846 149,692 299,384 1,085,267 2,170,534 4,341,068 8,682,136

Collatz Trajectory (256 steps to reach 1)

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

8,682,136 4,341,068 2,170,534 1,085,267 3,255,802 1,627,901 4,883,704 2,441,852 1,220,926 610,463 1,831,390 915,695 2,747,086 1,373,543 4,120,630 2,060,315 6,180,946 3,090,473 9,271,420 4,635,710 2,317,855 6,953,566 3,476,783 10,430,350 5,215,175 15,645,526 7,822,763 23,468,290 11,734,145 35,202,436 17,601,218 8,800,609 26,401,828 13,200,914 6,600,457 19,801,372 9,900,686 4,950,343 14,851,030 7,425,515 22,276,546 11,138,273 33,414,820 16,707,410 8,353,705 25,061,116 12,530,558 6,265,279 18,795,838 9,397,919 28,193,758 14,096,879 42,290,638 21,145,319 63,435,958 31,717,979 95,153,938 47,576,969 142,730,908 71,365,454

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