3,842,364

2² × 3 × 97 × 3301

3,842,364 factors as 2^2 × 3 × 97 × 3301. Its 24 positive divisors give a proper-divisor sum of 5,218,324, so this integer is abundant. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 97 × 3301

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,060,688

Proper Divisor Sum 5,218,324

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3842353 ← → #3842369

Radix Representation

Decimal	3842364
Binary	1110101010000100111100 (22 bits)
Octal	0o16520474
Hexadecimal	0x3AA13C

Divisor Catalog (24)

1 2 3 4 6 12 97 194 291 388 582 1,164 3,301 6,602 9,903 13,204 19,806 39,612 320,197 640,394 960,591 1,280,788 1,921,182 3,842,364

Collatz Trajectory (71 steps to reach 1)

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

3,842,364 1,921,182 960,591 2,881,774 1,440,887 4,322,662 2,161,331 6,483,994 3,241,997 9,725,992 4,862,996 2,431,498 1,215,749 3,647,248 1,823,624 911,812 455,906 227,953 683,860 341,930 170,965 512,896 256,448 128,224 64,112 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113

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