5,188,480

2⁷ × 5 × 11² × 67

5,188,480 factors as 2^7 × 5 × 11^2 × 67. Its 96 positive divisors give a proper-divisor sum of 8,648,840, so this integer is abundant. The Collatz stopping time is 82 steps.

Prime Factor Structure

Factorization String 2^7 × 5 × 11^2 × 67

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 13,837,320

Proper Divisor Sum 8,648,840

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #5188459 ← → #5188481

Radix Representation

Decimal	5188480
Binary	10011110010101110000000 (23 bits)
Octal	0o23625600
Hexadecimal	0x4F2B80

Divisor Catalog (60 of 96)

1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 67 80 88 110 121 128 134 160 176 220 242 268 320 335 352 440 484 536 605 640 670 704 737 880 968 1,072 1,210 1,340 1,408 1,474 1,760 1,936 2,144 2,420 2,680 2,948 3,520 3,685 3,872 4,288 4,840 5,360 5,896 7,040 7,370

Collatz Trajectory (82 steps to reach 1)

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

5,188,480 2,594,240 1,297,120 648,560 324,280 162,140 81,070 40,535 121,606 60,803 182,410 91,205 273,616 136,808 68,404 34,202 17,101 51,304 25,652 12,826 6,413 19,240 9,620 4,810 2,405 7,216 3,608 1,804 902 451 1,354 677 2,032 1,016 508 254 127 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154

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