3,769,400

2³ × 5² × 47 × 401

3,769,400 has the prime decomposition 2^3 × 5^2 × 47 × 401. Its 4 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 47 × 401

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,972,640

Proper Divisor Sum 5,203,240

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3769399 ← → #3769411

Radix Representation

Decimal	3769400
Binary	1110011000010000111000 (22 bits)
Octal	0o16302070
Hexadecimal	0x398438

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 47 50 94 100 188 200 235 376 401 470 802 940 1,175 1,604 1,880 2,005 2,350 3,208 4,010 4,700 8,020 9,400 10,025 16,040 18,847 20,050 37,694 40,100 75,388 80,200 94,235 150,776 188,470 376,940 471,175 753,880 942,350 1,884,700 3,769,400

Collatz Trajectory (110 steps to reach 1)

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

3,769,400 1,884,700 942,350 471,175 1,413,526 706,763 2,120,290 1,060,145 3,180,436 1,590,218 795,109 2,385,328 1,192,664 596,332 298,166 149,083 447,250 223,625 670,876 335,438 167,719 503,158 251,579 754,738 377,369 1,132,108 566,054 283,027 849,082 424,541 1,273,624 636,812 318,406 159,203 477,610 238,805 716,416 358,208 179,104 89,552 44,776 22,388 11,194 5,597 16,792 8,396 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886 443 1,330 665

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