3,692,792

2³ × 461599

3,692,792 factors as 2^3 × 461599. Its 8 positive divisors give a proper-divisor sum of 3,231,208, so this integer is deficient. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 2^3 × 461599

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,924,000

Proper Divisor Sum 3,231,208

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3692771 ← → #3692803

Radix Representation

Decimal	3692792
Binary	1110000101100011111000 (22 bits)
Octal	0o16054370
Hexadecimal	0x3858F8

Divisor Catalog (8)

1 2 4 8 461,599 923,198 1,846,396 3,692,792

Collatz Trajectory (190 steps to reach 1)

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

3,692,792 1,846,396 923,198 461,599 1,384,798 692,399 2,077,198 1,038,599 3,115,798 1,557,899 4,673,698 2,336,849 7,010,548 3,505,274 1,752,637 5,257,912 2,628,956 1,314,478 657,239 1,971,718 985,859 2,957,578 1,478,789 4,436,368 2,218,184 1,109,092 554,546 277,273 831,820 415,910 207,955 623,866 311,933 935,800 467,900 233,950 116,975 350,926 175,463 526,390 263,195 789,586 394,793 1,184,380 592,190 296,095 888,286 444,143 1,332,430 666,215 1,998,646 999,323 2,997,970 1,498,985 4,496,956 2,248,478 1,124,239 3,372,718 1,686,359 5,059,078

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