8,143,146

2 × 3³ × 11 × 13709

Starting at 8,143,146, the Collatz iteration reaches 1 after 137 steps. The first transition is 4071573; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^3 × 11 × 13709

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 19,742,400

Proper Divisor Sum 11,599,254

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #8143141 ← → #8143147

Radix Representation

Decimal	8143146
Binary	11111000100000100101010 (23 bits)
Octal	0o37040452
Hexadecimal	0x7C412A

Divisor Catalog (32)

1 2 3 6 9 11 18 22 27 33 54 66 99 198 297 594 13,709 27,418 41,127 82,254 123,381 150,799 246,762 301,598 370,143 452,397 740,286 904,794 1,357,191 2,714,382 4,071,573 8,143,146

Collatz Trajectory (137 steps to reach 1)

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

8,143,146 4,071,573 12,214,720 6,107,360 3,053,680 1,526,840 763,420 381,710 190,855 572,566 286,283 858,850 429,425 1,288,276 644,138 322,069 966,208 483,104 241,552 120,776 60,388 30,194 15,097 45,292 22,646 11,323 33,970 16,985 50,956 25,478 12,739 38,218 19,109 57,328 28,664 14,332 7,166 3,583 10,750 5,375 16,126 8,063 24,190 12,095 36,286 18,143 54,430 27,215 81,646 40,823 122,470 61,235 183,706 91,853 275,560 137,780 68,890 34,445 103,336 51,668

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