3,932,193

3 × 71 × 18461

Starting at 3,932,193, the Collatz iteration reaches 1 after 141 steps. The first transition is 11796580; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 71 × 18461

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,317,056

Proper Divisor Sum 1,384,863

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3932179 ← → #3932207

Radix Representation

Decimal	3932193
Binary	1111000000000000100001 (22 bits)
Octal	0o17000041
Hexadecimal	0x3C0021

Divisor Catalog (8)

1 3 71 213 18,461 55,383 1,310,731 3,932,193

Collatz Trajectory (141 steps to reach 1)

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

3,932,193 11,796,580 5,898,290 2,949,145 8,847,436 4,423,718 2,211,859 6,635,578 3,317,789 9,953,368 4,976,684 2,488,342 1,244,171 3,732,514 1,866,257 5,598,772 2,799,386 1,399,693 4,199,080 2,099,540 1,049,770 524,885 1,574,656 787,328 393,664 196,832 98,416 49,208 24,604 12,302 6,151 18,454 9,227 27,682 13,841 41,524 20,762 10,381 31,144 15,572 7,786 3,893 11,680 5,840 2,920 1,460 730 365 1,096 548 274 137 412 206 103 310 155 466 233 700

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