8,141,970

2 × 3 × 5 × 127 × 2137

Starting at 8,141,970, the Collatz iteration reaches 1 after 168 steps. The first transition is 4070985; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 127 × 2137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 19,703,808

Proper Divisor Sum 11,561,838

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8141957 ← → #8141971

Radix Representation

Decimal	8141970
Binary	11111000011110010010010 (23 bits)
Octal	0o37036222
Hexadecimal	0x7C3C92

Divisor Catalog (32)

1 2 3 5 6 10 15 30 127 254 381 635 762 1,270 1,905 2,137 3,810 4,274 6,411 10,685 12,822 21,370 32,055 64,110 271,399 542,798 814,197 1,356,995 1,628,394 2,713,990 4,070,985 8,141,970

Collatz Trajectory (168 steps to reach 1)

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

8,141,970 4,070,985 12,212,956 6,106,478 3,053,239 9,159,718 4,579,859 13,739,578 6,869,789 20,609,368 10,304,684 5,152,342 2,576,171 7,728,514 3,864,257 11,592,772 5,796,386 2,898,193 8,694,580 4,347,290 2,173,645 6,520,936 3,260,468 1,630,234 815,117 2,445,352 1,222,676 611,338 305,669 917,008 458,504 229,252 114,626 57,313 171,940 85,970 42,985 128,956 64,478 32,239 96,718 48,359 145,078 72,539 217,618 108,809 326,428 163,214 81,607 244,822 122,411 367,234 183,617 550,852 275,426 137,713 413,140 206,570 103,285 309,856

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