4,125,925

5² × 165037

Starting at 4,125,925, the Collatz iteration reaches 1 after 229 steps. The first transition is 12377776; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 5^2 × 165037

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 5,116,178

Proper Divisor Sum 990,253

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4125899 ← → #4125941

Radix Representation

Decimal	4125925
Binary	1111101111010011100101 (22 bits)
Octal	0o17572345
Hexadecimal	0x3EF4E5

Divisor Catalog (6)

1 5 25 165,037 825,185 4,125,925

Collatz Trajectory (229 steps to reach 1)

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

4,125,925 12,377,776 6,188,888 3,094,444 1,547,222 773,611 2,320,834 1,160,417 3,481,252 1,740,626 870,313 2,610,940 1,305,470 652,735 1,958,206 979,103 2,937,310 1,468,655 4,405,966 2,202,983 6,608,950 3,304,475 9,913,426 4,956,713 14,870,140 7,435,070 3,717,535 11,152,606 5,576,303 16,728,910 8,364,455 25,093,366 12,546,683 37,640,050 18,820,025 56,460,076 28,230,038 14,115,019 42,345,058 21,172,529 63,517,588 31,758,794 15,879,397 47,638,192 23,819,096 11,909,548 5,954,774 2,977,387 8,932,162 4,466,081 13,398,244 6,699,122 3,349,561 10,048,684 5,024,342 2,512,171 7,536,514 3,768,257 11,304,772 5,652,386

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