2,427,771

3 × 53 × 15269

For 2,427,771, the 8 positive divisors have a total of 3,298,320. Removing 2,427,771 leaves 870,549, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 53 × 15269

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,298,320

Proper Divisor Sum 870,549

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #2427769 ← → #2427773

Radix Representation

Decimal	2427771
Binary	1001010000101101111011 (22 bits)
Octal	0o11205573
Hexadecimal	0x250B7B

Divisor Catalog (8)

1 3 53 159 15,269 45,807 809,257 2,427,771

Collatz Trajectory (267 steps to reach 1)

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

2,427,771 7,283,314 3,641,657 10,924,972 5,462,486 2,731,243 8,193,730 4,096,865 12,290,596 6,145,298 3,072,649 9,217,948 4,608,974 2,304,487 6,913,462 3,456,731 10,370,194 5,185,097 15,555,292 7,777,646 3,888,823 11,666,470 5,833,235 17,499,706 8,749,853 26,249,560 13,124,780 6,562,390 3,281,195 9,843,586 4,921,793 14,765,380 7,382,690 3,691,345 11,074,036 5,537,018 2,768,509 8,305,528 4,152,764 2,076,382 1,038,191 3,114,574 1,557,287 4,671,862 2,335,931 7,007,794 3,503,897 10,511,692 5,255,846 2,627,923 7,883,770 3,941,885 11,825,656 5,912,828 2,956,414 1,478,207 4,434,622 2,217,311 6,651,934 3,325,967

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