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Atlas › Integer Profiles › Node 17,127,344

17,127,344

24 × 13 × 67 × 1229
Abundant Even Composite

17,127,344 factors as 2^4 × 13 × 67 × 1229. Its 40 positive divisors give a proper-divisor sum of 19,172,416, so this integer is abundant. The Collatz stopping time is 99 steps.

Prime Factor Structure

Factorization String 2^4 × 13 × 67 × 1229
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 36,299,760
Proper Divisor Sum 19,172,416
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #17127323 ← → #17127359

Radix Representation

Decimal 17127344
Binary 1000001010101011110110000 (25 bits)
Octal 0o101253660
Hexadecimal 0x10557B0

Divisor Catalog (40)

1 2 4 8 13 16 26 52 67 104 134 208 268 536 871 1,072 1,229 1,742 2,458 3,484 4,916 6,968 9,832 13,936 15,977 19,664 31,954 63,908 82,343 127,816 164,686 255,632 329,372 658,744 1,070,459 1,317,488 2,140,918 4,281,836 8,563,672 17,127,344

Collatz Trajectory (99 steps to reach 1)

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

17,127,344 8,563,672 4,281,836 2,140,918 1,070,459 3,211,378 1,605,689 4,817,068 2,408,534 1,204,267 3,612,802 1,806,401 5,419,204 2,709,602 1,354,801 4,064,404 2,032,202 1,016,101 3,048,304 1,524,152 762,076 381,038 190,519 571,558 285,779 857,338 428,669 1,286,008 643,004 321,502 160,751 482,254 241,127 723,382 361,691 1,085,074 542,537 1,627,612 813,806 406,903 1,220,710 610,355 1,831,066 915,533 2,746,600 1,373,300 686,650 343,325 1,029,976 514,988 257,494 128,747 386,242 193,121 579,364 289,682 144,841 434,524 217,262 108,631

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