5,156,523

3² × 233 × 2459

5,156,523 factors as 3^2 × 233 × 2459. Its 12 positive divisors give a proper-divisor sum of 2,326,797, so this integer is deficient. The Collatz stopping time is 126 steps.

Prime Factor Structure

Factorization String 3^2 × 233 × 2459

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,483,320

Proper Divisor Sum 2,326,797

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5156497 ← → #5156527

Radix Representation

Decimal	5156523
Binary	10011101010111010101011 (23 bits)
Octal	0o23527253
Hexadecimal	0x4EAEAB

Divisor Catalog (12)

1 3 9 233 699 2,097 2,459 7,377 22,131 572,947 1,718,841 5,156,523

Collatz Trajectory (126 steps to reach 1)

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

5,156,523 15,469,570 7,734,785 23,204,356 11,602,178 5,801,089 17,403,268 8,701,634 4,350,817 13,052,452 6,526,226 3,263,113 9,789,340 4,894,670 2,447,335 7,342,006 3,671,003 11,013,010 5,506,505 16,519,516 8,259,758 4,129,879 12,389,638 6,194,819 18,584,458 9,292,229 27,876,688 13,938,344 6,969,172 3,484,586 1,742,293 5,226,880 2,613,440 1,306,720 653,360 326,680 163,340 81,670 40,835 122,506 61,253 183,760 91,880 45,940 22,970 11,485 34,456 17,228 8,614 4,307 12,922 6,461 19,384 9,692 4,846 2,423 7,270 3,635 10,906 5,453

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