2,529,009

3³ × 7 × 13381

2,529,009 factors as 3^3 × 7 × 13381. Its 16 positive divisors give a proper-divisor sum of 1,753,231, so this integer is deficient. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 13381

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,282,240

Proper Divisor Sum 1,753,231

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2528993 ← → #2529013

Radix Representation

Decimal	2529009
Binary	1001101001011011110001 (22 bits)
Octal	0o11513361
Hexadecimal	0x2696F1

Divisor Catalog (16)

1 3 7 9 21 27 63 189 13,381 40,143 93,667 120,429 281,001 361,287 843,003 2,529,009

Collatz Trajectory (104 steps to reach 1)

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

2,529,009 7,587,028 3,793,514 1,896,757 5,690,272 2,845,136 1,422,568 711,284 355,642 177,821 533,464 266,732 133,366 66,683 200,050 100,025 300,076 150,038 75,019 225,058 112,529 337,588 168,794 84,397 253,192 126,596 63,298 31,649 94,948 47,474 23,737 71,212 35,606 17,803 53,410 26,705 80,116 40,058 20,029 60,088 30,044 15,022 7,511 22,534 11,267 33,802 16,901 50,704 25,352 12,676 6,338 3,169 9,508 4,754 2,377 7,132 3,566 1,783 5,350 2,675

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