3,776,352

2⁵ × 3 × 139 × 283

Starting at 3,776,352, the Collatz iteration reaches 1 after 141 steps. The first transition is 1888176; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3 × 139 × 283

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,019,520

Proper Divisor Sum 6,243,168

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3776317 ← → #3776369

Radix Representation

Decimal	3776352
Binary	1110011001111101100000 (22 bits)
Octal	0o16317540
Hexadecimal	0x399F60

Divisor Catalog (48)

1 2 3 4 6 8 12 16 24 32 48 96 139 278 283 417 556 566 834 849 1,112 1,132 1,668 1,698 2,224 2,264 3,336 3,396 4,448 4,528 6,672 6,792 9,056 13,344 13,584 27,168 39,337 78,674 118,011 157,348 236,022 314,696 472,044 629,392 944,088 1,258,784 1,888,176 3,776,352

Collatz Trajectory (141 steps to reach 1)

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

3,776,352 1,888,176 944,088 472,044 236,022 118,011 354,034 177,017 531,052 265,526 132,763 398,290 199,145 597,436 298,718 149,359 448,078 224,039 672,118 336,059 1,008,178 504,089 1,512,268 756,134 378,067 1,134,202 567,101 1,701,304 850,652 425,326 212,663 637,990 318,995 956,986 478,493 1,435,480 717,740 358,870 179,435 538,306 269,153 807,460 403,730 201,865 605,596 302,798 151,399 454,198 227,099 681,298 340,649 1,021,948 510,974 255,487 766,462 383,231 1,149,694 574,847 1,724,542 862,271

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