3,093,015

3 × 5 × 37 × 5573

For 3,093,015, the 16 positive divisors have a total of 5,083,488. Removing 3,093,015 leaves 1,990,473, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 5 × 37 × 5573

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,083,488

Proper Divisor Sum 1,990,473

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3093011 ← → #3093043

Radix Representation

Decimal	3093015
Binary	1011110011001000010111 (22 bits)
Octal	0o13631027
Hexadecimal	0x2F3217

Divisor Catalog (16)

1 3 5 15 37 111 185 555 5,573 16,719 27,865 83,595 206,201 618,603 1,031,005 3,093,015

Collatz Trajectory (102 steps to reach 1)

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

3,093,015 9,279,046 4,639,523 13,918,570 6,959,285 20,877,856 10,438,928 5,219,464 2,609,732 1,304,866 652,433 1,957,300 978,650 489,325 1,467,976 733,988 366,994 183,497 550,492 275,246 137,623 412,870 206,435 619,306 309,653 928,960 464,480 232,240 116,120 58,060 29,030 14,515 43,546 21,773 65,320 32,660 16,330 8,165 24,496 12,248 6,124 3,062 1,531 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274

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