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3,048,864

25 × 3 × 7 × 13 × 349
Abundant Even Composite

3,048,864 factors as 2^5 × 3 × 7 × 13 × 349. Its 96 positive divisors give a proper-divisor sum of 6,829,536, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 13 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 9,878,400
Proper Divisor Sum 6,829,536
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3048863 ← → #3048869

Radix Representation

Decimal 3048864
Binary 1011101000010110100000 (22 bits)
Octal 0o13502640
Hexadecimal 0x2E85A0

Divisor Catalog (60 of 96)

1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 349 364 416 546 624 672 698 728 1,047 1,092 1,248 1,396 1,456 2,094 2,184 2,443 2,792 2,912 4,188 4,368 4,537 4,886 5,584 7,329 8,376

Collatz Trajectory (151 steps to reach 1)

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

3,048,864 1,524,432 762,216 381,108 190,554 95,277 285,832 142,916 71,458 35,729 107,188 53,594 26,797 80,392 40,196 20,098 10,049 30,148 15,074 7,537 22,612 11,306 5,653 16,960 8,480 4,240 2,120 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91

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