5,117,751

3² × 71 × 8009

5,117,751 factors as 3^2 × 71 × 8009. Its 12 positive divisors give a proper-divisor sum of 2,379,609, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 3^2 × 71 × 8009

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,497,360

Proper Divisor Sum 2,379,609

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5117747 ← → #5117773

Radix Representation

Decimal	5117751
Binary	10011100001011100110111 (23 bits)
Octal	0o23413467
Hexadecimal	0x4E1737

Divisor Catalog (12)

1 3 9 71 213 639 8,009 24,027 72,081 568,639 1,705,917 5,117,751

Collatz Trajectory (100 steps to reach 1)

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

5,117,751 15,353,254 7,676,627 23,029,882 11,514,941 34,544,824 17,272,412 8,636,206 4,318,103 12,954,310 6,477,155 19,431,466 9,715,733 29,147,200 14,573,600 7,286,800 3,643,400 1,821,700 910,850 455,425 1,366,276 683,138 341,569 1,024,708 512,354 256,177 768,532 384,266 192,133 576,400 288,200 144,100 72,050 36,025 108,076 54,038 27,019 81,058 40,529 121,588 60,794 30,397 91,192 45,596 22,798 11,399 34,198 17,099 51,298 25,649 76,948 38,474 19,237 57,712 28,856 14,428 7,214 3,607 10,822 5,411

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