3,972,125

5³ × 43 × 739

Starting at 3,972,125, the Collatz iteration reaches 1 after 92 steps. The first transition is 11916376; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 5^3 × 43 × 739

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,079,360

Proper Divisor Sum 1,107,235

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #3972119 ← → #3972139

Radix Representation

Decimal	3972125
Binary	1111001001110000011101 (22 bits)
Octal	0o17116035
Hexadecimal	0x3C9C1D

Divisor Catalog (16)

1 5 25 43 125 215 739 1,075 3,695 5,375 18,475 31,777 92,375 158,885 794,425 3,972,125

Collatz Trajectory (92 steps to reach 1)

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

3,972,125 11,916,376 5,958,188 2,979,094 1,489,547 4,468,642 2,234,321 6,702,964 3,351,482 1,675,741 5,027,224 2,513,612 1,256,806 628,403 1,885,210 942,605 2,827,816 1,413,908 706,954 353,477 1,060,432 530,216 265,108 132,554 66,277 198,832 99,416 49,708 24,854 12,427 37,282 18,641 55,924 27,962 13,981 41,944 20,972 10,486 5,243 15,730 7,865 23,596 11,798 5,899 17,698 8,849 26,548 13,274 6,637 19,912 9,956 4,978 2,489 7,468 3,734 1,867 5,602 2,801 8,404 4,202

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