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Atlas › Integer Profiles › Node 6,839,620

6,839,620

22 × 5 × 19 × 41 × 439
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 19 × 41 × 439
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,523,200
Proper Divisor Sum 8,683,580
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6839587 ← → #6839629

Radix Representation

Decimal 6839620
Binary 11010000101110101000100 (23 bits)
Octal 0o32056504
Hexadecimal 0x685D44

Divisor Catalog (48)

1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 439 779 820 878 1,558 1,756 2,195 3,116 3,895 4,390 7,790 8,341 8,780 15,580 16,682 17,999 33,364 35,998 41,705 71,996 83,410 89,995 166,820 179,990 341,981 359,980 683,962 1,367,924 1,709,905 3,419,810 6,839,620

Collatz Trajectory (222 steps to reach 1)

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

6,839,620 3,419,810 1,709,905 5,129,716 2,564,858 1,282,429 3,847,288 1,923,644 961,822 480,911 1,442,734 721,367 2,164,102 1,082,051 3,246,154 1,623,077 4,869,232 2,434,616 1,217,308 608,654 304,327 912,982 456,491 1,369,474 684,737 2,054,212 1,027,106 513,553 1,540,660 770,330 385,165 1,155,496 577,748 288,874 144,437 433,312 216,656 108,328 54,164 27,082 13,541 40,624 20,312 10,156 5,078 2,539 7,618 3,809 11,428 5,714 2,857 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235

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