3,996,528

2⁴ × 3 × 139 × 599

3,996,528 has the prime decomposition 2^4 × 3 × 139 × 599. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 139 × 599

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 10,416,000

Proper Divisor Sum 6,419,472

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3996527 ← → #3996529

Radix Representation

Decimal	3996528
Binary	1111001111101101110000 (22 bits)
Octal	0o17175560
Hexadecimal	0x3CFB70

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 139 278 417 556 599 834 1,112 1,198 1,668 1,797 2,224 2,396 3,336 3,594 4,792 6,672 7,188 9,584 14,376 28,752 83,261 166,522 249,783 333,044 499,566 666,088 999,132 1,332,176 1,998,264 3,996,528

Collatz Trajectory (185 steps to reach 1)

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

3,996,528 1,998,264 999,132 499,566 249,783 749,350 374,675 1,124,026 562,013 1,686,040 843,020 421,510 210,755 632,266 316,133 948,400 474,200 237,100 118,550 59,275 177,826 88,913 266,740 133,370 66,685 200,056 100,028 50,014 25,007 75,022 37,511 112,534 56,267 168,802 84,401 253,204 126,602 63,301 189,904 94,952 47,476 23,738 11,869 35,608 17,804 8,902 4,451 13,354 6,677 20,032 10,016 5,008 2,504 1,252 626 313 940 470 235 706

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