3,877,600

2⁵ × 5² × 37 × 131

Starting at 3,877,600, the Collatz iteration reaches 1 after 141 steps. The first transition is 1938800; the starting value is even with 72 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5^2 × 37 × 131

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 9,796,248

Proper Divisor Sum 5,918,648

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3877597 ← → #3877603

Radix Representation

Decimal	3877600
Binary	1110110010101011100000 (22 bits)
Octal	0o16625340
Hexadecimal	0x3B2AE0

Divisor Catalog (60 of 72)

1 2 4 5 8 10 16 20 25 32 37 40 50 74 80 100 131 148 160 185 200 262 296 370 400 524 592 655 740 800 925 1,048 1,184 1,310 1,480 1,850 2,096 2,620 2,960 3,275 3,700 4,192 4,847 5,240 5,920 6,550 7,400 9,694 10,480 13,100 14,800 19,388 20,960 24,235 26,200 29,600 38,776 48,470 52,400 77,552

Collatz Trajectory (141 steps to reach 1)

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

3,877,600 1,938,800 969,400 484,700 242,350 121,175 363,526 181,763 545,290 272,645 817,936 408,968 204,484 102,242 51,121 153,364 76,682 38,341 115,024 57,512 28,756 14,378 7,189 21,568 10,784 5,392 2,696 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700

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