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5,114,032

24 × 72 × 11 × 593
Abundant Even Composite

5,114,032 factors as 2^4 × 7^2 × 11 × 593. Its 60 positive divisors give a proper-divisor sum of 7,481,144, so this integer is abundant. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 2^4 × 7^2 × 11 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 60
Divisor Sum (σ) 12,595,176
Proper Divisor Sum 7,481,144
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #5114003 ← → #5114047

Radix Representation

Decimal 5114032
Binary 10011100000100010110000 (23 bits)
Octal 0o23404260
Hexadecimal 0x4E08B0

Divisor Catalog (60)

1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 593 616 784 1,078 1,186 1,232 2,156 2,372 4,151 4,312 4,744 6,523 8,302 8,624 9,488 13,046 16,604 26,092 29,057 33,208 45,661 52,184 58,114 66,416 91,322 104,368 116,228 182,644 232,456 319,627 365,288 464,912 639,254 730,576 1,278,508 2,557,016 5,114,032

Collatz Trajectory (126 steps to reach 1)

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

5,114,032 2,557,016 1,278,508 639,254 319,627 958,882 479,441 1,438,324 719,162 359,581 1,078,744 539,372 269,686 134,843 404,530 202,265 606,796 303,398 151,699 455,098 227,549 682,648 341,324 170,662 85,331 255,994 127,997 383,992 191,996 95,998 47,999 143,998 71,999 215,998 107,999 323,998 161,999 485,998 242,999 728,998 364,499 1,093,498 546,749 1,640,248 820,124 410,062 205,031 615,094 307,547 922,642 461,321 1,383,964 691,982 345,991 1,037,974 518,987 1,556,962 778,481 2,335,444 1,167,722

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