4,666,720

2⁵ × 5 × 29167

Starting at 4,666,720, the Collatz iteration reaches 1 after 131 steps. The first transition is 2333360; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5 × 29167

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 11,025,504

Proper Divisor Sum 6,358,784

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #4666693 ← → #4666741

Radix Representation

Decimal	4666720
Binary	10001110011010101100000 (23 bits)
Octal	0o21632540
Hexadecimal	0x473560

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 29,167 58,334 116,668 145,835 233,336 291,670 466,672 583,340 933,344 1,166,680 2,333,360 4,666,720

Collatz Trajectory (131 steps to reach 1)

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

4,666,720 2,333,360 1,166,680 583,340 291,670 145,835 437,506 218,753 656,260 328,130 164,065 492,196 246,098 123,049 369,148 184,574 92,287 276,862 138,431 415,294 207,647 622,942 311,471 934,414 467,207 1,401,622 700,811 2,102,434 1,051,217 3,153,652 1,576,826 788,413 2,365,240 1,182,620 591,310 295,655 886,966 443,483 1,330,450 665,225 1,995,676 997,838 498,919 1,496,758 748,379 2,245,138 1,122,569 3,367,708 1,683,854 841,927 2,525,782 1,262,891 3,788,674 1,894,337 5,683,012 2,841,506 1,420,753 4,262,260 2,131,130 1,065,565

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