8,260,822

2 × 167 × 24733

Starting at 8,260,822, the Collatz iteration reaches 1 after 168 steps. The first transition is 4130411; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 167 × 24733

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,465,936

Proper Divisor Sum 4,205,114

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8260807 ← → #8260823

Radix Representation

Decimal	8260822
Binary	11111100000110011010110 (23 bits)
Octal	0o37406326
Hexadecimal	0x7E0CD6

Divisor Catalog (8)

1 2 167 334 24,733 49,466 4,130,411 8,260,822

Collatz Trajectory (168 steps to reach 1)

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

8,260,822 4,130,411 12,391,234 6,195,617 18,586,852 9,293,426 4,646,713 13,940,140 6,970,070 3,485,035 10,455,106 5,227,553 15,682,660 7,841,330 3,920,665 11,761,996 5,880,998 2,940,499 8,821,498 4,410,749 13,232,248 6,616,124 3,308,062 1,654,031 4,962,094 2,481,047 7,443,142 3,721,571 11,164,714 5,582,357 16,747,072 8,373,536 4,186,768 2,093,384 1,046,692 523,346 261,673 785,020 392,510 196,255 588,766 294,383 883,150 441,575 1,324,726 662,363 1,987,090 993,545 2,980,636 1,490,318 745,159 2,235,478 1,117,739 3,353,218 1,676,609 5,029,828 2,514,914 1,257,457 3,772,372 1,886,186

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