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Atlas › Integer Profiles › Node 13,696,870

13,696,870

2 × 5 × 11 × 41 × 3037
Abundant Even Composite

13,696,870 factors as 2 × 5 × 11 × 41 × 3037. Its 32 positive divisors give a proper-divisor sum of 13,863,866, so this integer is abundant. The Collatz stopping time is 130 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 41 × 3037
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 27,560,736
Proper Divisor Sum 13,863,866
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #13696867 ← → #13696873

Radix Representation

Decimal 13696870
Binary 110100001111111101100110 (24 bits)
Octal 0o64177546
Hexadecimal 0xD0FF66

Divisor Catalog (32)

1 2 5 10 11 22 41 55 82 110 205 410 451 902 2,255 3,037 4,510 6,074 15,185 30,370 33,407 66,814 124,517 167,035 249,034 334,070 622,585 1,245,170 1,369,687 2,739,374 6,848,435 13,696,870

Collatz Trajectory (130 steps to reach 1)

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

13,696,870 6,848,435 20,545,306 10,272,653 30,817,960 15,408,980 7,704,490 3,852,245 11,556,736 5,778,368 2,889,184 1,444,592 722,296 361,148 180,574 90,287 270,862 135,431 406,294 203,147 609,442 304,721 914,164 457,082 228,541 685,624 342,812 171,406 85,703 257,110 128,555 385,666 192,833 578,500 289,250 144,625 433,876 216,938 108,469 325,408 162,704 81,352 40,676 20,338 10,169 30,508 15,254 7,627 22,882 11,441 34,324 17,162 8,581 25,744 12,872 6,436 3,218 1,609 4,828 2,414

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