4,118,384

2⁴ × 257399

Starting at 4,118,384, the Collatz iteration reaches 1 after 105 steps. The first transition is 2059192; the starting value is even with 10 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 257399

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 7,979,400

Proper Divisor Sum 3,861,016

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4118339 ← → #4118417

Radix Representation

Decimal	4118384
Binary	1111101101011101110000 (22 bits)
Octal	0o17553560
Hexadecimal	0x3ED770

Divisor Catalog (10)

1 2 4 8 16 257,399 514,798 1,029,596 2,059,192 4,118,384

Collatz Trajectory (105 steps to reach 1)

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

4,118,384 2,059,192 1,029,596 514,798 257,399 772,198 386,099 1,158,298 579,149 1,737,448 868,724 434,362 217,181 651,544 325,772 162,886 81,443 244,330 122,165 366,496 183,248 91,624 45,812 22,906 11,453 34,360 17,180 8,590 4,295 12,886 6,443 19,330 9,665 28,996 14,498 7,249 21,748 10,874 5,437 16,312 8,156 4,078 2,039 6,118 3,059 9,178 4,589 13,768 6,884 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812 2,906 1,453 4,360

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