3,810,480

2⁴ × 3 × 5 × 15877

3,810,480 factors as 2^4 × 3 × 5 × 15877. Its 40 positive divisors give a proper-divisor sum of 8,002,752, so this integer is abundant. The Collatz stopping time is 123 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 15877

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 11,813,232

Proper Divisor Sum 8,002,752

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3810463 ← → #3810481

Radix Representation

Decimal	3810480
Binary	1110100010010010110000 (22 bits)
Octal	0o16422260
Hexadecimal	0x3A24B0

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 15,877 31,754 47,631 63,508 79,385 95,262 127,016 158,770 190,524 238,155 254,032 317,540 381,048 476,310 635,080 762,096 952,620 1,270,160 1,905,240 3,810,480

Collatz Trajectory (123 steps to reach 1)

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

3,810,480 1,905,240 952,620 476,310 238,155 714,466 357,233 1,071,700 535,850 267,925 803,776 401,888 200,944 100,472 50,236 25,118 12,559 37,678 18,839 56,518 28,259 84,778 42,389 127,168 63,584 31,792 15,896 7,948 3,974 1,987 5,962 2,981 8,944 4,472 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040

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