4,166,160

2⁴ × 3 × 5 × 17359

Starting at 4,166,160, the Collatz iteration reaches 1 after 167 steps. The first transition is 2083080; the starting value is even with 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 17359

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 12,915,840

Proper Divisor Sum 8,749,680

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4166159 ← → #4166177

Radix Representation

Decimal	4166160
Binary	1111111001001000010000 (22 bits)
Octal	0o17711020
Hexadecimal	0x3F9210

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 17,359 34,718 52,077 69,436 86,795 104,154 138,872 173,590 208,308 260,385 277,744 347,180 416,616 520,770 694,360 833,232 1,041,540 1,388,720 2,083,080 4,166,160

Collatz Trajectory (167 steps to reach 1)

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

4,166,160 2,083,080 1,041,540 520,770 260,385 781,156 390,578 195,289 585,868 292,934 146,467 439,402 219,701 659,104 329,552 164,776 82,388 41,194 20,597 61,792 30,896 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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