3,001,347

3³ × 89 × 1249

For 3,001,347, the 16 positive divisors have a total of 4,500,000. Removing 3,001,347 leaves 1,498,653, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^3 × 89 × 1249

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,500,000

Proper Divisor Sum 1,498,653

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3001321 ← → #3001351

Radix Representation

Decimal	3001347
Binary	1011011100110000000011 (22 bits)
Octal	0o13346003
Hexadecimal	0x2DCC03

Divisor Catalog (16)

1 3 9 27 89 267 801 1,249 2,403 3,747 11,241 33,723 111,161 333,483 1,000,449 3,001,347

Collatz Trajectory (89 steps to reach 1)

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

3,001,347 9,004,042 4,502,021 13,506,064 6,753,032 3,376,516 1,688,258 844,129 2,532,388 1,266,194 633,097 1,899,292 949,646 474,823 1,424,470 712,235 2,136,706 1,068,353 3,205,060 1,602,530 801,265 2,403,796 1,201,898 600,949 1,802,848 901,424 450,712 225,356 112,678 56,339 169,018 84,509 253,528 126,764 63,382 31,691 95,074 47,537 142,612 71,306 35,653 106,960 53,480 26,740 13,370 6,685 20,056 10,028 5,014 2,507 7,522 3,761 11,284 5,642 2,821 8,464 4,232 2,116 1,058 529

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