λ
Sigma Notebook

1,773,112

23 × 11 × 20149
Abundant Even Composite

1,773,112 is even and not a perfect square. Its factorization is 2^3 × 11 × 20149 and its 16 divisors sum to 3,627,000.

Prime Factor Structure

Factorization String 2^3 × 11 × 20149
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,627,000
Proper Divisor Sum 1,853,888
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1773071 ← → #1773131

Radix Representation

Decimal 1773112
Binary 110110000111000111000 (21 bits)
Octal 0o6607070
Hexadecimal 0x1B0E38

Divisor Catalog (16)

1 2 4 8 11 22 44 88 20,149 40,298 80,596 161,192 221,639 443,278 886,556 1,773,112

Collatz Trajectory (83 steps to reach 1)

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

1,773,112 886,556 443,278 221,639 664,918 332,459 997,378 498,689 1,496,068 748,034 374,017 1,122,052 561,026 280,513 841,540 420,770 210,385 631,156 315,578 157,789 473,368 236,684 118,342 59,171 177,514 88,757 266,272 133,136 66,568 33,284 16,642 8,321 24,964 12,482 6,241 18,724 9,362 4,681 14,044 7,022 3,511 10,534 5,267 15,802 7,901 23,704 11,852 5,926 2,963 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876

More profiles

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