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Atlas › Integer Profiles › Node 6,000,380

6,000,380

22 × 5 × 89 × 3371
Abundant Even Composite

6,000,380 factors as 2^2 × 5 × 89 × 3371. Its 24 positive divisors give a proper-divisor sum of 6,745,780, so this integer is abundant. The Collatz stopping time is 258 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 89 × 3371
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 12,746,160
Proper Divisor Sum 6,745,780
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #6000377 ← → #6000389

Radix Representation

Decimal 6000380
Binary 10110111000111011111100 (23 bits)
Octal 0o26707374
Hexadecimal 0x5B8EFC

Divisor Catalog (24)

1 2 4 5 10 20 89 178 356 445 890 1,780 3,371 6,742 13,484 16,855 33,710 67,420 300,019 600,038 1,200,076 1,500,095 3,000,190 6,000,380

Collatz Trajectory (258 steps to reach 1)

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

6,000,380 3,000,190 1,500,095 4,500,286 2,250,143 6,750,430 3,375,215 10,125,646 5,062,823 15,188,470 7,594,235 22,782,706 11,391,353 34,174,060 17,087,030 8,543,515 25,630,546 12,815,273 38,445,820 19,222,910 9,611,455 28,834,366 14,417,183 43,251,550 21,625,775 64,877,326 32,438,663 97,315,990 48,657,995 145,973,986 72,986,993 218,960,980 109,480,490 54,740,245 164,220,736 82,110,368 41,055,184 20,527,592 10,263,796 5,131,898 2,565,949 7,697,848 3,848,924 1,924,462 962,231 2,886,694 1,443,347 4,330,042 2,165,021 6,495,064 3,247,532 1,623,766 811,883 2,435,650 1,217,825 3,653,476 1,826,738 913,369 2,740,108 1,370,054

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