λ
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5,111,592

23 × 3 × 373 × 571
Abundant Even Composite

5,111,592 factors as 2^3 × 3 × 373 × 571. Its 32 positive divisors give a proper-divisor sum of 7,724,088, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 373 × 571
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,835,680
Proper Divisor Sum 7,724,088
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #5111567 ← → #5111599

Radix Representation

Decimal 5111592
Binary 10011011111111100101000 (23 bits)
Octal 0o23377450
Hexadecimal 0x4DFF28

Divisor Catalog (32)

1 2 3 4 6 8 12 24 373 571 746 1,119 1,142 1,492 1,713 2,238 2,284 2,984 3,426 4,476 4,568 6,852 8,952 13,704 212,983 425,966 638,949 851,932 1,277,898 1,703,864 2,555,796 5,111,592

Collatz Trajectory (82 steps to reach 1)

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

5,111,592 2,555,796 1,277,898 638,949 1,916,848 958,424 479,212 239,606 119,803 359,410 179,705 539,116 269,558 134,779 404,338 202,169 606,508 303,254 151,627 454,882 227,441 682,324 341,162 170,581 511,744 255,872 127,936 63,968 31,984 15,992 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152

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