7,314,600

2³ × 3 × 5² × 73 × 167

Starting at 7,314,600, the Collatz iteration reaches 1 after 111 steps. The first transition is 3657300; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5^2 × 73 × 167

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 23,123,520

Proper Divisor Sum 15,808,920

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7314599 ← → #7314611

Radix Representation

Decimal	7314600
Binary	11011111001110010101000 (23 bits)
Octal	0o33716250
Hexadecimal	0x6F9CA8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 73 75 100 120 146 150 167 200 219 292 300 334 365 438 501 584 600 668 730 835 876 1,002 1,095 1,336 1,460 1,670 1,752 1,825 2,004 2,190 2,505 2,920 3,340 3,650 4,008 4,175 4,380 5,010 5,475 6,680 7,300 8,350 8,760

Collatz Trajectory (111 steps to reach 1)

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

7,314,600 3,657,300 1,828,650 914,325 2,742,976 1,371,488 685,744 342,872 171,436 85,718 42,859 128,578 64,289 192,868 96,434 48,217 144,652 72,326 36,163 108,490 54,245 162,736 81,368 40,684 20,342 10,171 30,514 15,257 45,772 22,886 11,443 34,330 17,165 51,496 25,748 12,874 6,437 19,312 9,656 4,828 2,414 1,207 3,622 1,811 5,434 2,717 8,152 4,076 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291

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