3,878,075

5² × 61 × 2543

Starting at 3,878,075, the Collatz iteration reaches 1 after 203 steps. The first transition is 11634226; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 61 × 2543

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,889,568

Proper Divisor Sum 1,011,493

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #3878051 ← → #3878093

Radix Representation

Decimal	3878075
Binary	1110110010110010111011 (22 bits)
Octal	0o16626273
Hexadecimal	0x3B2CBB

Divisor Catalog (12)

1 5 25 61 305 1,525 2,543 12,715 63,575 155,123 775,615 3,878,075

Collatz Trajectory (203 steps to reach 1)

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

3,878,075 11,634,226 5,817,113 17,451,340 8,725,670 4,362,835 13,088,506 6,544,253 19,632,760 9,816,380 4,908,190 2,454,095 7,362,286 3,681,143 11,043,430 5,521,715 16,565,146 8,282,573 24,847,720 12,423,860 6,211,930 3,105,965 9,317,896 4,658,948 2,329,474 1,164,737 3,494,212 1,747,106 873,553 2,620,660 1,310,330 655,165 1,965,496 982,748 491,374 245,687 737,062 368,531 1,105,594 552,797 1,658,392 829,196 414,598 207,299 621,898 310,949 932,848 466,424 233,212 116,606 58,303 174,910 87,455 262,366 131,183 393,550 196,775 590,326 295,163 885,490

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