6,448,876

2² × 7 × 109 × 2113

6,448,876 factors as 2^2 × 7 × 109 × 2113. Its 24 positive divisors give a proper-divisor sum of 6,573,364, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 109 × 2113

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 13,022,240

Proper Divisor Sum 6,573,364

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #6448861 ← → #6448889

Radix Representation

Decimal	6448876
Binary	11000100110011011101100 (23 bits)
Octal	0o30463354
Hexadecimal	0x6266EC

Divisor Catalog (24)

Collatz Trajectory (253 steps to reach 1)

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

6,448,876 3,224,438 1,612,219 4,836,658 2,418,329 7,254,988 3,627,494 1,813,747 5,441,242 2,720,621 8,161,864 4,080,932 2,040,466 1,020,233 3,060,700 1,530,350 765,175 2,295,526 1,147,763 3,443,290 1,721,645 5,164,936 2,582,468 1,291,234 645,617 1,936,852 968,426 484,213 1,452,640 726,320 363,160 181,580 90,790 45,395 136,186 68,093 204,280 102,140 51,070 25,535 76,606 38,303 114,910 57,455 172,366 86,183 258,550 129,275 387,826 193,913 581,740 290,870 145,435 436,306 218,153 654,460 327,230 163,615 490,846 245,423

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