5,086,440

2³ × 3² × 5 × 71 × 199

5,086,440 factors as 2^3 × 3^2 × 5 × 71 × 199. Its 96 positive divisors give a proper-divisor sum of 11,761,560, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 71 × 199

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 16,848,000

Proper Divisor Sum 11,761,560

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #5086429 ← → #5086441

Radix Representation

Decimal	5086440
Binary	10011011001110011101000 (23 bits)
Octal	0o23316350
Hexadecimal	0x4D9CE8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 199 213 284 355 360 398 426 568 597 639 710 796 852 995 1,065 1,194 1,278 1,420 1,592 1,704 1,791 1,990 2,130 2,388 2,556 2,840 2,985 3,195 3,582 3,980 4,260 4,776 5,112 5,970 6,390

Collatz Trajectory (175 steps to reach 1)

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

5,086,440 2,543,220 1,271,610 635,805 1,907,416 953,708 476,854 238,427 715,282 357,641 1,072,924 536,462 268,231 804,694 402,347 1,207,042 603,521 1,810,564 905,282 452,641 1,357,924 678,962 339,481 1,018,444 509,222 254,611 763,834 381,917 1,145,752 572,876 286,438 143,219 429,658 214,829 644,488 322,244 161,122 80,561 241,684 120,842 60,421 181,264 90,632 45,316 22,658 11,329 33,988 16,994 8,497 25,492 12,746 6,373 19,120 9,560 4,780 2,390 1,195 3,586 1,793 5,380

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