125,301

3 × 11 × 3797

Starting at 125,301, the Collatz iteration reaches 1 after 105 steps. The first transition is 375904; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 3797

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 182,304

Proper Divisor Sum 57,003

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #125299 ← → #125303

Radix Representation

Decimal	125301
Binary	11110100101110101 (17 bits)
Octal	0o364565
Hexadecimal	0x1E975

Divisor Catalog (8)

1 3 11 33 3,797 11,391 41,767 125,301

Collatz Trajectory (105 steps to reach 1)

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

125,301 375,904 187,952 93,976 46,988 23,494 11,747 35,242 17,621 52,864 26,432 13,216 6,608 3,304 1,652 826 413 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

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