λ
Integer Codex

3,800,989

431 × 8819
Deficient Odd Composite

For 3,800,989, the 4 positive divisors have a total of 3,810,240. Removing 3,800,989 leaves 9,251, which gives the deficient classification.

Prime Factor Structure

Factorization String 431 × 8819
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 3,810,240
Proper Divisor Sum 9,251
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #3800963 ← → #3800999

Radix Representation

Decimal 3800989
Binary 1110011111111110011101 (22 bits)
Octal 0o16377635
Hexadecimal 0x39FF9D

Divisor Catalog (4)

1 431 8,819 3,800,989

Collatz Trajectory (309 steps to reach 1)

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

3,800,989 11,402,968 5,701,484 2,850,742 1,425,371 4,276,114 2,138,057 6,414,172 3,207,086 1,603,543 4,810,630 2,405,315 7,215,946 3,607,973 10,823,920 5,411,960 2,705,980 1,352,990 676,495 2,029,486 1,014,743 3,044,230 1,522,115 4,566,346 2,283,173 6,849,520 3,424,760 1,712,380 856,190 428,095 1,284,286 642,143 1,926,430 963,215 2,889,646 1,444,823 4,334,470 2,167,235 6,501,706 3,250,853 9,752,560 4,876,280 2,438,140 1,219,070 609,535 1,828,606 914,303 2,742,910 1,371,455 4,114,366 2,057,183 6,171,550 3,085,775 9,257,326 4,628,663 13,885,990 6,942,995 20,828,986 10,414,493 31,243,480

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