1,267,150

2 × 5² × 25343

Starting at 1,267,150, the Collatz iteration reaches 1 after 129 steps. The first transition is 633575; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 25343

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,356,992

Proper Divisor Sum 1,089,842

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #1267127 ← → #1267151

Radix Representation

Decimal	1267150
Binary	100110101010111001110 (21 bits)
Octal	0o4652716
Hexadecimal	0x1355CE

Divisor Catalog (12)

1 2 5 10 25 50 25,343 50,686 126,715 253,430 633,575 1,267,150

Collatz Trajectory (129 steps to reach 1)

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

1,267,150 633,575 1,900,726 950,363 2,851,090 1,425,545 4,276,636 2,138,318 1,069,159 3,207,478 1,603,739 4,811,218 2,405,609 7,216,828 3,608,414 1,804,207 5,412,622 2,706,311 8,118,934 4,059,467 12,178,402 6,089,201 18,267,604 9,133,802 4,566,901 13,700,704 6,850,352 3,425,176 1,712,588 856,294 428,147 1,284,442 642,221 1,926,664 963,332 481,666 240,833 722,500 361,250 180,625 541,876 270,938 135,469 406,408 203,204 101,602 50,801 152,404 76,202 38,101 114,304 57,152 28,576 14,288 7,144 3,572 1,786 893 2,680 1,340

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