8,036,680

2³ × 5 × 331 × 607

Starting at 8,036,680, the Collatz iteration reaches 1 after 168 steps. The first transition is 4018340; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 331 × 607

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 18,167,040

Proper Divisor Sum 10,130,360

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8036629 ← → #8036681

Radix Representation

Decimal	8036680
Binary	11110101010000101001000 (23 bits)
Octal	0o36520510
Hexadecimal	0x7AA148

Divisor Catalog (32)

1 2 4 5 8 10 20 40 331 607 662 1,214 1,324 1,655 2,428 2,648 3,035 3,310 4,856 6,070 6,620 12,140 13,240 24,280 200,917 401,834 803,668 1,004,585 1,607,336 2,009,170 4,018,340 8,036,680

Collatz Trajectory (168 steps to reach 1)

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

8,036,680 4,018,340 2,009,170 1,004,585 3,013,756 1,506,878 753,439 2,260,318 1,130,159 3,390,478 1,695,239 5,085,718 2,542,859 7,628,578 3,814,289 11,442,868 5,721,434 2,860,717 8,582,152 4,291,076 2,145,538 1,072,769 3,218,308 1,609,154 804,577 2,413,732 1,206,866 603,433 1,810,300 905,150 452,575 1,357,726 678,863 2,036,590 1,018,295 3,054,886 1,527,443 4,582,330 2,291,165 6,873,496 3,436,748 1,718,374 859,187 2,577,562 1,288,781 3,866,344 1,933,172 966,586 483,293 1,449,880 724,940 362,470 181,235 543,706 271,853 815,560 407,780 203,890 101,945 305,836

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