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Atlas › Integer Profiles › Node 5,997,706

5,997,706

2 × 11 × 13 × 67 × 313
Deficient Even Composite

5,997,706 factors as 2 × 11 × 13 × 67 × 313. Its 32 positive divisors give a proper-divisor sum of 4,763,702, so this integer is deficient. The Collatz stopping time is 258 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 67 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 10,761,408
Proper Divisor Sum 4,763,702
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #5997689 ← → #5997713

Radix Representation

Decimal 5997706
Binary 10110111000010010001010 (23 bits)
Octal 0o26702212
Hexadecimal 0x5B848A

Divisor Catalog (32)

1 2 11 13 22 26 67 134 143 286 313 626 737 871 1,474 1,742 3,443 4,069 6,886 8,138 9,581 19,162 20,971 41,942 44,759 89,518 230,681 272,623 461,362 545,246 2,998,853 5,997,706

Collatz Trajectory (258 steps to reach 1)

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

5,997,706 2,998,853 8,996,560 4,498,280 2,249,140 1,124,570 562,285 1,686,856 843,428 421,714 210,857 632,572 316,286 158,143 474,430 237,215 711,646 355,823 1,067,470 533,735 1,601,206 800,603 2,401,810 1,200,905 3,602,716 1,801,358 900,679 2,702,038 1,351,019 4,053,058 2,026,529 6,079,588 3,039,794 1,519,897 4,559,692 2,279,846 1,139,923 3,419,770 1,709,885 5,129,656 2,564,828 1,282,414 641,207 1,923,622 961,811 2,885,434 1,442,717 4,328,152 2,164,076 1,082,038 541,019 1,623,058 811,529 2,434,588 1,217,294 608,647 1,825,942 912,971 2,738,914 1,369,457

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