1,775,241

3² × 13 × 15173

Starting at 1,775,241, the Collatz iteration reaches 1 after 220 steps. The first transition is 5325724; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 13 × 15173

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,761,668

Proper Divisor Sum 986,427

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #1775231 ← → #1775243

Radix Representation

Decimal	1775241
Binary	110110001011010001001 (21 bits)
Octal	0o6613211
Hexadecimal	0x1B1689

Divisor Catalog (12)

1 3 9 13 39 117 15,173 45,519 136,557 197,249 591,747 1,775,241

Collatz Trajectory (220 steps to reach 1)

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

1,775,241 5,325,724 2,662,862 1,331,431 3,994,294 1,997,147 5,991,442 2,995,721 8,987,164 4,493,582 2,246,791 6,740,374 3,370,187 10,110,562 5,055,281 15,165,844 7,582,922 3,791,461 11,374,384 5,687,192 2,843,596 1,421,798 710,899 2,132,698 1,066,349 3,199,048 1,599,524 799,762 399,881 1,199,644 599,822 299,911 899,734 449,867 1,349,602 674,801 2,024,404 1,012,202 506,101 1,518,304 759,152 379,576 189,788 94,894 47,447 142,342 71,171 213,514 106,757 320,272 160,136 80,068 40,034 20,017 60,052 30,026 15,013 45,040 22,520 11,260

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