2,609,013

3 × 11 × 173 × 457

For 2,609,013, the 16 positive divisors have a total of 3,825,216. Removing 2,609,013 leaves 1,216,203, which gives the deficient classification.

Prime Factor Structure

Factorization String 3 × 11 × 173 × 457

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,825,216

Proper Divisor Sum 1,216,203

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2608993 ← → #2609021

Radix Representation

Decimal	2609013
Binary	1001111100111101110101 (22 bits)
Octal	0o11747565
Hexadecimal	0x27CF75

Divisor Catalog (16)

1 3 11 33 173 457 519 1,371 1,903 5,027 5,709 15,081 79,061 237,183 869,671 2,609,013

Collatz Trajectory (81 steps to reach 1)

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

2,609,013 7,827,040 3,913,520 1,956,760 978,380 489,190 244,595 733,786 366,893 1,100,680 550,340 275,170 137,585 412,756 206,378 103,189 309,568 154,784 77,392 38,696 19,348 9,674 4,837 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77

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