2,732,009

7 × 23 × 71 × 239

2,732,009 factors as 7 × 23 × 71 × 239. Its 16 positive divisors give a proper-divisor sum of 585,751, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 7 × 23 × 71 × 239

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,317,760

Proper Divisor Sum 585,751

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #2731997 ← → #2732017

Radix Representation

Decimal	2732009
Binary	1010011010111111101001 (22 bits)
Octal	0o12327751
Hexadecimal	0x29AFE9

Divisor Catalog (16)

1 7 23 71 161 239 497 1,633 1,673 5,497 11,431 16,969 38,479 118,783 390,287 2,732,009

Collatz Trajectory (200 steps to reach 1)

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

2,732,009 8,196,028 4,098,014 2,049,007 6,147,022 3,073,511 9,220,534 4,610,267 13,830,802 6,915,401 20,746,204 10,373,102 5,186,551 15,559,654 7,779,827 23,339,482 11,669,741 35,009,224 17,504,612 8,752,306 4,376,153 13,128,460 6,564,230 3,282,115 9,846,346 4,923,173 14,769,520 7,384,760 3,692,380 1,846,190 923,095 2,769,286 1,384,643 4,153,930 2,076,965 6,230,896 3,115,448 1,557,724 778,862 389,431 1,168,294 584,147 1,752,442 876,221 2,628,664 1,314,332 657,166 328,583 985,750 492,875 1,478,626 739,313 2,217,940 1,108,970 554,485 1,663,456 831,728 415,864 207,932 103,966

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