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Atlas › Integer Profiles › Node 3,881,889

3,881,889

32 × 11 × 113 × 347
Deficient Odd Composite

3,881,889 factors as 3^2 × 11 × 113 × 347. Its 24 positive divisors give a proper-divisor sum of 2,306,943, so this integer is deficient. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 113 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,188,832
Proper Divisor Sum 2,306,943
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #3881887 ← → #3881951

Radix Representation

Decimal 3881889
Binary 1110110011101110100001 (22 bits)
Octal 0o16635641
Hexadecimal 0x3B3BA1

Divisor Catalog (24)

1 3 9 11 33 99 113 339 347 1,017 1,041 1,243 3,123 3,729 3,817 11,187 11,451 34,353 39,211 117,633 352,899 431,321 1,293,963 3,881,889

Collatz Trajectory (123 steps to reach 1)

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

3,881,889 11,645,668 5,822,834 2,911,417 8,734,252 4,367,126 2,183,563 6,550,690 3,275,345 9,826,036 4,913,018 2,456,509 7,369,528 3,684,764 1,842,382 921,191 2,763,574 1,381,787 4,145,362 2,072,681 6,218,044 3,109,022 1,554,511 4,663,534 2,331,767 6,995,302 3,497,651 10,492,954 5,246,477 15,739,432 7,869,716 3,934,858 1,967,429 5,902,288 2,951,144 1,475,572 737,786 368,893 1,106,680 553,340 276,670 138,335 415,006 207,503 622,510 311,255 933,766 466,883 1,400,650 700,325 2,100,976 1,050,488 525,244 262,622 131,311 393,934 196,967 590,902 295,451 886,354

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