λ
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6,287,848

23 × 7 × 47 × 2389
Abundant Even Composite

6,287,848 factors as 2^3 × 7 × 47 × 2389. Its 32 positive divisors give a proper-divisor sum of 7,478,552, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 47 × 2389
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,766,400
Proper Divisor Sum 7,478,552
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #6287837 ← → #6287849

Radix Representation

Decimal 6287848
Binary 10111111111000111101000 (23 bits)
Octal 0o27770750
Hexadecimal 0x5FF1E8

Divisor Catalog (32)

1 2 4 7 8 14 28 47 56 94 188 329 376 658 1,316 2,389 2,632 4,778 9,556 16,723 19,112 33,446 66,892 112,283 133,784 224,566 449,132 785,981 898,264 1,571,962 3,143,924 6,287,848

Collatz Trajectory (134 steps to reach 1)

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

6,287,848 3,143,924 1,571,962 785,981 2,357,944 1,178,972 589,486 294,743 884,230 442,115 1,326,346 663,173 1,989,520 994,760 497,380 248,690 124,345 373,036 186,518 93,259 279,778 139,889 419,668 209,834 104,917 314,752 157,376 78,688 39,344 19,672 9,836 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454 6,227 18,682 9,341 28,024 14,012 7,006 3,503 10,510 5,255 15,766 7,883 23,650 11,825 35,476 17,738 8,869 26,608 13,304 6,652

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