6,401,320

2³ × 5 × 160033

6,401,320 factors as 2^3 × 5 × 160033. Its 16 positive divisors give a proper-divisor sum of 8,001,740, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 160033

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,403,060

Proper Divisor Sum 8,001,740

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #6401303 ← → #6401327

Radix Representation

Decimal	6401320
Binary	11000011010110100101000 (23 bits)
Octal	0o30326450
Hexadecimal	0x61AD28

Divisor Catalog (16)

1 2 4 5 8 10 20 40 160,033 320,066 640,132 800,165 1,280,264 1,600,330 3,200,660 6,401,320

Collatz Trajectory (95 steps to reach 1)

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

6,401,320 3,200,660 1,600,330 800,165 2,400,496 1,200,248 600,124 300,062 150,031 450,094 225,047 675,142 337,571 1,012,714 506,357 1,519,072 759,536 379,768 189,884 94,942 47,471 142,414 71,207 213,622 106,811 320,434 160,217 480,652 240,326 120,163 360,490 180,245 540,736 270,368 135,184 67,592 33,796 16,898 8,449 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129

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