3,771,552

2⁵ × 3 × 17 × 2311

Starting at 3,771,552, the Collatz iteration reaches 1 after 79 steps. The first transition is 1885776; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 17 × 2311

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,487,232

Proper Divisor Sum 6,715,680

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3771529 ← → #3771577

Radix Representation

Decimal	3771552
Binary	1110011000110010100000 (22 bits)
Octal	0o16306240
Hexadecimal	0x398CA0

Divisor Catalog (48)

1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1,632 2,311 4,622 6,933 9,244 13,866 18,488 27,732 36,976 39,287 55,464 73,952 78,574 110,928 117,861 157,148 221,856 235,722 314,296 471,444 628,592 942,888 1,257,184 1,885,776 3,771,552

Collatz Trajectory (79 steps to reach 1)

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

3,771,552 1,885,776 942,888 471,444 235,722 117,861 353,584 176,792 88,396 44,198 22,099 66,298 33,149 99,448 49,724 24,862 12,431 37,294 18,647 55,942 27,971 83,914 41,957 125,872 62,936 31,468 15,734 7,867 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112

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