3,928,860

2² × 3² × 5 × 13 × 23 × 73

3,928,860 factors as 2^2 × 3^2 × 5 × 13 × 23 × 73. Its 144 positive divisors give a proper-divisor sum of 9,646,884, so this integer is abundant. The Collatz stopping time is 247 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 13 × 23 × 73

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 13,575,744

Proper Divisor Sum 9,646,884

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3928849 ← → #3928913

Radix Representation

Decimal	3928860
Binary	1110111111001100011100 (22 bits)
Octal	0o16771434
Hexadecimal	0x3BF31C

Divisor Catalog (60 of 144)

1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 73 78 90 92 115 117 130 138 146 156 180 195 207 219 230 234 260 276 292 299 345 365 390 414 438 460 468 585 598 657 690 730 780 828 876 897

Collatz Trajectory (247 steps to reach 1)

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

3,928,860 1,964,430 982,215 2,946,646 1,473,323 4,419,970 2,209,985 6,629,956 3,314,978 1,657,489 4,972,468 2,486,234 1,243,117 3,729,352 1,864,676 932,338 466,169 1,398,508 699,254 349,627 1,048,882 524,441 1,573,324 786,662 393,331 1,179,994 589,997 1,769,992 884,996 442,498 221,249 663,748 331,874 165,937 497,812 248,906 124,453 373,360 186,680 93,340 46,670 23,335 70,006 35,003 105,010 52,505 157,516 78,758 39,379 118,138 59,069 177,208 88,604 44,302 22,151 66,454 33,227 99,682 49,841 149,524

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