4,688,478

2 × 3² × 19 × 13709

4,688,478 factors as 2 × 3^2 × 19 × 13709. Its 24 positive divisors give a proper-divisor sum of 6,005,322, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 13709

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 10,693,800

Proper Divisor Sum 6,005,322

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #4688449 ← → #4688503

Radix Representation

Decimal	4688478
Binary	10001111000101001011110 (23 bits)
Octal	0o21705136
Hexadecimal	0x478A5E

Divisor Catalog (24)

1 2 3 6 9 18 19 38 57 114 171 342 13,709 27,418 41,127 82,254 123,381 246,762 260,471 520,942 781,413 1,562,826 2,344,239 4,688,478

Collatz Trajectory (100 steps to reach 1)

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

4,688,478 2,344,239 7,032,718 3,516,359 10,549,078 5,274,539 15,823,618 7,911,809 23,735,428 11,867,714 5,933,857 17,801,572 8,900,786 4,450,393 13,351,180 6,675,590 3,337,795 10,013,386 5,006,693 15,020,080 7,510,040 3,755,020 1,877,510 938,755 2,816,266 1,408,133 4,224,400 2,112,200 1,056,100 528,050 264,025 792,076 396,038 198,019 594,058 297,029 891,088 445,544 222,772 111,386 55,693 167,080 83,540 41,770 20,885 62,656 31,328 15,664 7,832 3,916 1,958 979 2,938 1,469 4,408 2,204 1,102 551 1,654 827

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