3,987,648

2⁶ × 3² × 7 × 23 × 43

Prime Factor Structure

Factorization String 2^6 × 3^2 × 7 × 23 × 43

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 168

Divisor Sum (σ) 13,947,648

Proper Divisor Sum 9,960,000

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #3987629 ← → #3987649

Radix Representation

Decimal	3987648
Binary	1111001101100011000000 (22 bits)
Octal	0o17154300
Hexadecimal	0x3CD8C0

Divisor Catalog (60 of 168)

1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 43 46 48 56 63 64 69 72 84 86 92 96 112 126 129 138 144 161 168 172 184 192 207 224 252 258 276 288 301 322 336 344 368 387 414 448 483 504 516 552 576

Collatz Trajectory (92 steps to reach 1)

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

3,987,648 1,993,824 996,912 498,456 249,228 124,614 62,307 186,922 93,461 280,384 140,192 70,096 35,048 17,524 8,762 4,381 13,144 6,572 3,286 1,643 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118

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