3,642,288

2⁴ × 3 × 13² × 449

3,642,288 has the prime decomposition 2^4 × 3 × 13^2 × 449. Its 4 distinct prime factors produce 60 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 13^2 × 449

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 60

Divisor Sum (σ) 10,211,400

Proper Divisor Sum 6,569,112

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3642269 ← → #3642299

Radix Representation

Decimal	3642288
Binary	1101111001001110110000 (22 bits)
Octal	0o15711660
Hexadecimal	0x3793B0

Divisor Catalog (60)

1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 449 507 624 676 898 1,014 1,347 1,352 1,796 2,028 2,694 2,704 3,592 4,056 5,388 5,837 7,184 8,112 10,776 11,674 17,511 21,552 23,348 35,022 46,696 70,044 75,881 93,392 140,088 151,762 227,643 280,176 303,524 455,286 607,048 910,572 1,214,096 1,821,144 3,642,288

Collatz Trajectory (97 steps to reach 1)

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

3,642,288 1,821,144 910,572 455,286 227,643 682,930 341,465 1,024,396 512,198 256,099 768,298 384,149 1,152,448 576,224 288,112 144,056 72,028 36,014 18,007 54,022 27,011 81,034 40,517 121,552 60,776 30,388 15,194 7,597 22,792 11,396 5,698 2,849 8,548 4,274 2,137 6,412 3,206 1,603 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647

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