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Atlas › Integer Profiles › Node 6,279,800

6,279,800

23 × 52 × 17 × 1847
Abundant Even Composite

6,279,800 factors as 2^3 × 5^2 × 17 × 1847. Its 48 positive divisors give a proper-divisor sum of 9,187,960, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 17 × 1847
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,467,760
Proper Divisor Sum 9,187,960
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6279797 ← → #6279803

Radix Representation

Decimal 6279800
Binary 10111111101001001111000 (23 bits)
Octal 0o27751170
Hexadecimal 0x5FD278

Divisor Catalog (48)

1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1,700 1,847 3,400 3,694 7,388 9,235 14,776 18,470 31,399 36,940 46,175 62,798 73,880 92,350 125,596 156,995 184,700 251,192 313,990 369,400 627,980 784,975 1,255,960 1,569,950 3,139,900 6,279,800

Collatz Trajectory (134 steps to reach 1)

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

6,279,800 3,139,900 1,569,950 784,975 2,354,926 1,177,463 3,532,390 1,766,195 5,298,586 2,649,293 7,947,880 3,973,940 1,986,970 993,485 2,980,456 1,490,228 745,114 372,557 1,117,672 558,836 279,418 139,709 419,128 209,564 104,782 52,391 157,174 78,587 235,762 117,881 353,644 176,822 88,411 265,234 132,617 397,852 198,926 99,463 298,390 149,195 447,586 223,793 671,380 335,690 167,845 503,536 251,768 125,884 62,942 31,471 94,414 47,207 141,622 70,811 212,434 106,217 318,652 159,326 79,663 238,990

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