2,838,582

2 × 3² × 179 × 881

2,838,582 factors as 2 × 3^2 × 179 × 881. Its 24 positive divisors give a proper-divisor sum of 3,353,058, so this integer is abundant. The Collatz stopping time is 306 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 179 × 881

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,191,640

Proper Divisor Sum 3,353,058

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2838569 ← → #2838587

Radix Representation

Decimal	2838582
Binary	1010110101000000110110 (22 bits)
Octal	0o12650066
Hexadecimal	0x2B5036

Divisor Catalog (24)

1 2 3 6 9 18 179 358 537 881 1,074 1,611 1,762 2,643 3,222 5,286 7,929 15,858 157,699 315,398 473,097 946,194 1,419,291 2,838,582

Collatz Trajectory (306 steps to reach 1)

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

2,838,582 1,419,291 4,257,874 2,128,937 6,386,812 3,193,406 1,596,703 4,790,110 2,395,055 7,185,166 3,592,583 10,777,750 5,388,875 16,166,626 8,083,313 24,249,940 12,124,970 6,062,485 18,187,456 9,093,728 4,546,864 2,273,432 1,136,716 568,358 284,179 852,538 426,269 1,278,808 639,404 319,702 159,851 479,554 239,777 719,332 359,666 179,833 539,500 269,750 134,875 404,626 202,313 606,940 303,470 151,735 455,206 227,603 682,810 341,405 1,024,216 512,108 256,054 128,027 384,082 192,041 576,124 288,062 144,031 432,094 216,047 648,142

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