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Atlas › Integer Profiles › Node 6,185,892

6,185,892

22 × 3 × 17 × 30323
Abundant Even Composite

6,185,892 factors as 2^2 × 3 × 17 × 30323. Its 24 positive divisors give a proper-divisor sum of 9,097,404, so this integer is abundant. The Collatz stopping time is 364 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 17 × 30323
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,283,296
Proper Divisor Sum 9,097,404
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #6185891 ← → #6185897

Radix Representation

Decimal 6185892
Binary 10111100110001110100100 (23 bits)
Octal 0o27461644
Hexadecimal 0x5E63A4

Divisor Catalog (24)

1 2 3 4 6 12 17 34 51 68 102 204 30,323 60,646 90,969 121,292 181,938 363,876 515,491 1,030,982 1,546,473 2,061,964 3,092,946 6,185,892

Collatz Trajectory (364 steps to reach 1)

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

6,185,892 3,092,946 1,546,473 4,639,420 2,319,710 1,159,855 3,479,566 1,739,783 5,219,350 2,609,675 7,829,026 3,914,513 11,743,540 5,871,770 2,935,885 8,807,656 4,403,828 2,201,914 1,100,957 3,302,872 1,651,436 825,718 412,859 1,238,578 619,289 1,857,868 928,934 464,467 1,393,402 696,701 2,090,104 1,045,052 522,526 261,263 783,790 391,895 1,175,686 587,843 1,763,530 881,765 2,645,296 1,322,648 661,324 330,662 165,331 495,994 247,997 743,992 371,996 185,998 92,999 278,998 139,499 418,498 209,249 627,748 313,874 156,937 470,812 235,406

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