4,288,440

2³ × 3 × 5 × 13 × 2749

4,288,440 has the prime decomposition 2^3 × 3 × 5 × 13 × 2749. Its 5 distinct prime factors produce 64 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 13 × 2749

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 13,860,000

Proper Divisor Sum 9,571,560

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4288439 ← → #4288441

Radix Representation

Decimal	4288440
Binary	10000010110111110111000 (23 bits)
Octal	0o20267670
Hexadecimal	0x416FB8

Divisor Catalog (60 of 64)

1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1,560 2,749 5,498 8,247 10,996 13,745 16,494 21,992 27,490 32,988 35,737 41,235 54,980 65,976 71,474 82,470 107,211 109,960 142,948 164,940 178,685 214,422 285,896 329,880 357,370 428,844 536,055 714,740 857,688

Collatz Trajectory (149 steps to reach 1)

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

4,288,440 2,144,220 1,072,110 536,055 1,608,166 804,083 2,412,250 1,206,125 3,618,376 1,809,188 904,594 452,297 1,356,892 678,446 339,223 1,017,670 508,835 1,526,506 763,253 2,289,760 1,144,880 572,440 286,220 143,110 71,555 214,666 107,333 322,000 161,000 80,500 40,250 20,125 60,376 30,188 15,094 7,547 22,642 11,321 33,964 16,982 8,491 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214

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