1,661,541

3 × 7² × 89 × 127

1,661,541 factors as 3 × 7^2 × 89 × 127. Its 24 positive divisors give a proper-divisor sum of 965,019, so this integer is deficient. The Collatz stopping time is 114 steps.

Prime Factor Structure

Factorization String 3 × 7^2 × 89 × 127

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,626,560

Proper Divisor Sum 965,019

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #1661519 ← → #1661549

Radix Representation

Decimal	1661541
Binary	110010101101001100101 (21 bits)
Octal	0o6255145
Hexadecimal	0x195A65

Divisor Catalog (24)

Collatz Trajectory (114 steps to reach 1)

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

1,661,541 4,984,624 2,492,312 1,246,156 623,078 311,539 934,618 467,309 1,401,928 700,964 350,482 175,241 525,724 262,862 131,431 394,294 197,147 591,442 295,721 887,164 443,582 221,791 665,374 332,687 998,062 499,031 1,497,094 748,547 2,245,642 1,122,821 3,368,464 1,684,232 842,116 421,058 210,529 631,588 315,794 157,897 473,692 236,846 118,423 355,270 177,635 532,906 266,453 799,360 399,680 199,840 99,920 49,960 24,980 12,490 6,245 18,736 9,368 4,684 2,342 1,171 3,514 1,757

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