3,966,480

2⁴ × 3² × 5 × 7 × 787

3,966,480 factors as 2^4 × 3^2 × 5 × 7 × 787. Its 120 positive divisors give a proper-divisor sum of 11,276,592, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 5 × 7 × 787

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 120

Divisor Sum (σ) 15,243,072

Proper Divisor Sum 11,276,592

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3966439 ← → #3966503

Radix Representation

Decimal	3966480
Binary	1111001000011000010000 (22 bits)
Octal	0o17103020
Hexadecimal	0x3C8610

Divisor Catalog (60 of 120)

1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 787 840 1,008 1,260 1,574 1,680

Collatz Trajectory (123 steps to reach 1)

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

3,966,480 1,983,240 991,620 495,810 247,905 743,716 371,858 185,929 557,788 278,894 139,447 418,342 209,171 627,514 313,757 941,272 470,636 235,318 117,659 352,978 176,489 529,468 264,734 132,367 397,102 198,551 595,654 297,827 893,482 446,741 1,340,224 670,112 335,056 167,528 83,764 41,882 20,941 62,824 31,412 15,706 7,853 23,560 11,780 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,966,479 Browse Full Index Next Integer #3,966,481 →