3,003,302

2 × 257 × 5843

3,003,302 factors as 2 × 257 × 5843. Its 8 positive divisors give a proper-divisor sum of 1,519,954, so this integer is deficient. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2 × 257 × 5843

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,523,256

Proper Divisor Sum 1,519,954

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #3003281 ← → #3003307

Radix Representation

Decimal	3003302
Binary	1011011101001110100110 (22 bits)
Octal	0o13351646
Hexadecimal	0x2DD3A6

Divisor Catalog (8)

1 2 257 514 5,843 11,686 1,501,651 3,003,302

Collatz Trajectory (195 steps to reach 1)

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

3,003,302 1,501,651 4,504,954 2,252,477 6,757,432 3,378,716 1,689,358 844,679 2,534,038 1,267,019 3,801,058 1,900,529 5,701,588 2,850,794 1,425,397 4,276,192 2,138,096 1,069,048 534,524 267,262 133,631 400,894 200,447 601,342 300,671 902,014 451,007 1,353,022 676,511 2,029,534 1,014,767 3,044,302 1,522,151 4,566,454 2,283,227 6,849,682 3,424,841 10,274,524 5,137,262 2,568,631 7,705,894 3,852,947 11,558,842 5,779,421 17,338,264 8,669,132 4,334,566 2,167,283 6,501,850 3,250,925 9,752,776 4,876,388 2,438,194 1,219,097 3,657,292 1,828,646 914,323 2,742,970 1,371,485 4,114,456

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