3,128,392

2³ × 391049

Starting at 3,128,392, the Collatz iteration reaches 1 after 226 steps. The first transition is 1564196; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 391049

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,865,750

Proper Divisor Sum 2,737,358

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3128381 ← → #3128393

Radix Representation

Decimal	3128392
Binary	1011111011110001001000 (22 bits)
Octal	0o13736110
Hexadecimal	0x2FBC48

Divisor Catalog (8)

1 2 4 8 391,049 782,098 1,564,196 3,128,392

Collatz Trajectory (226 steps to reach 1)

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

3,128,392 1,564,196 782,098 391,049 1,173,148 586,574 293,287 879,862 439,931 1,319,794 659,897 1,979,692 989,846 494,923 1,484,770 742,385 2,227,156 1,113,578 556,789 1,670,368 835,184 417,592 208,796 104,398 52,199 156,598 78,299 234,898 117,449 352,348 176,174 88,087 264,262 132,131 396,394 198,197 594,592 297,296 148,648 74,324 37,162 18,581 55,744 27,872 13,936 6,968 3,484 1,742 871 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311

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