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2,052,380

22 × 5 × 11 × 19 × 491
Abundant Even Composite

2,052,380 factors as 2^2 × 5 × 11 × 19 × 491. Its 48 positive divisors give a proper-divisor sum of 2,906,980, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 19 × 491
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,959,360
Proper Divisor Sum 2,906,980
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #2052371 ← → #2052409

Radix Representation

Decimal 2052380
Binary 111110101000100011100 (21 bits)
Octal 0o7650434
Hexadecimal 0x1F511C

Divisor Catalog (48)

1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 491 836 982 1,045 1,964 2,090 2,455 4,180 4,910 5,401 9,329 9,820 10,802 18,658 21,604 27,005 37,316 46,645 54,010 93,290 102,619 108,020 186,580 205,238 410,476 513,095 1,026,190 2,052,380

Collatz Trajectory (184 steps to reach 1)

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

2,052,380 1,026,190 513,095 1,539,286 769,643 2,308,930 1,154,465 3,463,396 1,731,698 865,849 2,597,548 1,298,774 649,387 1,948,162 974,081 2,922,244 1,461,122 730,561 2,191,684 1,095,842 547,921 1,643,764 821,882 410,941 1,232,824 616,412 308,206 154,103 462,310 231,155 693,466 346,733 1,040,200 520,100 260,050 130,025 390,076 195,038 97,519 292,558 146,279 438,838 219,419 658,258 329,129 987,388 493,694 246,847 740,542 370,271 1,110,814 555,407 1,666,222 833,111 2,499,334 1,249,667 3,749,002 1,874,501 5,623,504 2,811,752

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