13,705,636

2² × 7 × 489487

13,705,636 factors as 2^2 × 7 × 489487. Its 12 positive divisors give a proper-divisor sum of 13,705,692, so this integer is abundant. The Collatz stopping time is 285 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 489487

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 27,411,328

Proper Divisor Sum 13,705,692

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #13705633 ← → #13705667

Radix Representation

Decimal	13705636
Binary	110100010010000110100100 (24 bits)
Octal	0o64220644
Hexadecimal	0xD121A4

Divisor Catalog (12)

1 2 4 7 14 28 489,487 978,974 1,957,948 3,426,409 6,852,818 13,705,636

Collatz Trajectory (285 steps to reach 1)

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

13,705,636 6,852,818 3,426,409 10,279,228 5,139,614 2,569,807 7,709,422 3,854,711 11,564,134 5,782,067 17,346,202 8,673,101 26,019,304 13,009,652 6,504,826 3,252,413 9,757,240 4,878,620 2,439,310 1,219,655 3,658,966 1,829,483 5,488,450 2,744,225 8,232,676 4,116,338 2,058,169 6,174,508 3,087,254 1,543,627 4,630,882 2,315,441 6,946,324 3,473,162 1,736,581 5,209,744 2,604,872 1,302,436 651,218 325,609 976,828 488,414 244,207 732,622 366,311 1,098,934 549,467 1,648,402 824,201 2,472,604 1,236,302 618,151 1,854,454 927,227 2,781,682 1,390,841 4,172,524 2,086,262 1,043,131 3,129,394

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