4,887,480

2³ × 3 × 5 × 13² × 241

4,887,480 factors as 2^3 × 3 × 5 × 13^2 × 241. Its 96 positive divisors give a proper-divisor sum of 11,055,480, so this integer is abundant. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 13^2 × 241

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 15,942,960

Proper Divisor Sum 11,055,480

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #4887437 ← → #4887481

Radix Representation

Decimal	4887480
Binary	10010101001001110111000 (23 bits)
Octal	0o22511670
Hexadecimal	0x4A93B8

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 169 195 241 260 312 338 390 482 507 520 676 723 780 845 964 1,014 1,205 1,352 1,446 1,560 1,690 1,928 2,028 2,410 2,535 2,892 3,133 3,380 3,615 4,056 4,820 5,070 5,784 6,266 6,760

Collatz Trajectory (87 steps to reach 1)

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

4,887,480 2,443,740 1,221,870 610,935 1,832,806 916,403 2,749,210 1,374,605 4,123,816 2,061,908 1,030,954 515,477 1,546,432 773,216 386,608 193,304 96,652 48,326 24,163 72,490 36,245 108,736 54,368 27,184 13,592 6,796 3,398 1,699 5,098 2,549 7,648 3,824 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866

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