8,242,680

2³ × 3 × 5 × 149 × 461

Starting at 8,242,680, the Collatz iteration reaches 1 after 168 steps. The first transition is 4121340; the starting value is even with 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 149 × 461

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 24,948,000

Proper Divisor Sum 16,705,320

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8242679 ← → #8242687

Radix Representation

Decimal	8242680
Binary	11111011100010111111000 (23 bits)
Octal	0o37342770
Hexadecimal	0x7DC5F8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 461 596 745 894 922 1,192 1,383 1,490 1,788 1,844 2,235 2,305 2,766 2,980 3,576 3,688 4,470 4,610 5,532 5,960 6,915 8,940 9,220 11,064 13,830 17,880 18,440 27,660 55,320 68,689 137,378 206,067 274,756 343,445 412,134 549,512 686,890 824,268 1,030,335 1,373,780 1,648,536

Collatz Trajectory (168 steps to reach 1)

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

8,242,680 4,121,340 2,060,670 1,030,335 3,091,006 1,545,503 4,636,510 2,318,255 6,954,766 3,477,383 10,432,150 5,216,075 15,648,226 7,824,113 23,472,340 11,736,170 5,868,085 17,604,256 8,802,128 4,401,064 2,200,532 1,100,266 550,133 1,650,400 825,200 412,600 206,300 103,150 51,575 154,726 77,363 232,090 116,045 348,136 174,068 87,034 43,517 130,552 65,276 32,638 16,319 48,958 24,479 73,438 36,719 110,158 55,079 165,238 82,619 247,858 123,929 371,788 185,894 92,947 278,842 139,421 418,264 209,132 104,566 52,283

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