3,994,764

2² × 3 × 463 × 719

3,994,764 factors as 2^2 × 3 × 463 × 719. Its 24 positive divisors give a proper-divisor sum of 5,359,476, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 463 × 719

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,354,240

Proper Divisor Sum 5,359,476

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #3994763 ← → #3994777

Radix Representation

Decimal	3994764
Binary	1111001111010010001100 (22 bits)
Octal	0o17172214
Hexadecimal	0x3CF48C

Divisor Catalog (24)

1 2 3 4 6 12 463 719 926 1,389 1,438 1,852 2,157 2,778 2,876 4,314 5,556 8,628 332,897 665,794 998,691 1,331,588 1,997,382 3,994,764

Collatz Trajectory (154 steps to reach 1)

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

3,994,764 1,997,382 998,691 2,996,074 1,498,037 4,494,112 2,247,056 1,123,528 561,764 280,882 140,441 421,324 210,662 105,331 315,994 157,997 473,992 236,996 118,498 59,249 177,748 88,874 44,437 133,312 66,656 33,328 16,664 8,332 4,166 2,083 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

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