4,165,712

2⁴ × 19 × 71 × 193

Starting at 4,165,712, the Collatz iteration reaches 1 after 167 steps. The first transition is 2082856; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 19 × 71 × 193

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 8,660,160

Proper Divisor Sum 4,494,448

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #4165709 ← → #4165729

Radix Representation

Decimal	4165712
Binary	1111111001000001010000 (22 bits)
Octal	0o17710120
Hexadecimal	0x3F9050

Divisor Catalog (40)

1 2 4 8 16 19 38 71 76 142 152 193 284 304 386 568 772 1,136 1,349 1,544 2,698 3,088 3,667 5,396 7,334 10,792 13,703 14,668 21,584 27,406 29,336 54,812 58,672 109,624 219,248 260,357 520,714 1,041,428 2,082,856 4,165,712

Collatz Trajectory (167 steps to reach 1)

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

4,165,712 2,082,856 1,041,428 520,714 260,357 781,072 390,536 195,268 97,634 48,817 146,452 73,226 36,613 109,840 54,920 27,460 13,730 6,865 20,596 10,298 5,149 15,448 7,724 3,862 1,931 5,794 2,897 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124

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