2,588,841

3⁴ × 31 × 1031

For 2,588,841, the 20 positive divisors have a total of 3,995,904. Removing 2,588,841 leaves 1,407,063, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^4 × 31 × 1031

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 3,995,904

Proper Divisor Sum 1,407,063

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2588827 ← → #2588869

Radix Representation

Decimal	2588841
Binary	1001111000000010101001 (22 bits)
Octal	0o11700251
Hexadecimal	0x2780A9

Divisor Catalog (20)

1 3 9 27 31 81 93 279 837 1,031 2,511 3,093 9,279 27,837 31,961 83,511 95,883 287,649 862,947 2,588,841

Collatz Trajectory (231 steps to reach 1)

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

2,588,841 7,766,524 3,883,262 1,941,631 5,824,894 2,912,447 8,737,342 4,368,671 13,106,014 6,553,007 19,659,022 9,829,511 29,488,534 14,744,267 44,232,802 22,116,401 66,349,204 33,174,602 16,587,301 49,761,904 24,880,952 12,440,476 6,220,238 3,110,119 9,330,358 4,665,179 13,995,538 6,997,769 20,993,308 10,496,654 5,248,327 15,744,982 7,872,491 23,617,474 11,808,737 35,426,212 17,713,106 8,856,553 26,569,660 13,284,830 6,642,415 19,927,246 9,963,623 29,890,870 14,945,435 44,836,306 22,418,153 67,254,460 33,627,230 16,813,615 50,440,846 25,220,423 75,661,270 37,830,635 113,491,906 56,745,953 170,237,860 85,118,930 42,559,465 127,678,396

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