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5,137,752

23 × 3 × 192 × 593
Abundant Even Composite

5,137,752 factors as 2^3 × 3 × 19^2 × 593. Its 48 positive divisors give a proper-divisor sum of 8,441,088, so this integer is abundant. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 19^2 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,578,840
Proper Divisor Sum 8,441,088
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5137747 ← → #5137777

Radix Representation

Decimal 5137752
Binary 10011100110010101011000 (23 bits)
Octal 0o23462530
Hexadecimal 0x4E6558

Divisor Catalog (48)

1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 361 456 593 722 1,083 1,186 1,444 1,779 2,166 2,372 2,888 3,558 4,332 4,744 7,116 8,664 11,267 14,232 22,534 33,801 45,068 67,602 90,136 135,204 214,073 270,408 428,146 642,219 856,292 1,284,438 1,712,584 2,568,876 5,137,752

Collatz Trajectory (219 steps to reach 1)

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

5,137,752 2,568,876 1,284,438 642,219 1,926,658 963,329 2,889,988 1,444,994 722,497 2,167,492 1,083,746 541,873 1,625,620 812,810 406,405 1,219,216 609,608 304,804 152,402 76,201 228,604 114,302 57,151 171,454 85,727 257,182 128,591 385,774 192,887 578,662 289,331 867,994 433,997 1,301,992 650,996 325,498 162,749 488,248 244,124 122,062 61,031 183,094 91,547 274,642 137,321 411,964 205,982 102,991 308,974 154,487 463,462 231,731 695,194 347,597 1,042,792 521,396 260,698 130,349 391,048 195,524

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