6,404,776

2³ × 7 × 114371

6,404,776 factors as 2^3 × 7 × 114371. Its 16 positive divisors give a proper-divisor sum of 7,319,864, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 114371

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 13,724,640

Proper Divisor Sum 7,319,864

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #6404773 ← → #6404777

Radix Representation

Decimal	6404776
Binary	11000011011101010101000 (23 bits)
Octal	0o30335250
Hexadecimal	0x61BAA8

Divisor Catalog (16)

1 2 4 7 8 14 28 56 114,371 228,742 457,484 800,597 914,968 1,601,194 3,202,388 6,404,776

Collatz Trajectory (165 steps to reach 1)

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

6,404,776 3,202,388 1,601,194 800,597 2,401,792 1,200,896 600,448 300,224 150,112 75,056 37,528 18,764 9,382 4,691 14,074 7,037 21,112 10,556 5,278 2,639 7,918 3,959 11,878 5,939 17,818 8,909 26,728 13,364 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190

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