3,840,560

2⁴ × 5 × 61 × 787

3,840,560 has the prime decomposition 2^4 × 5 × 61 × 787. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 5 × 61 × 787

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 9,087,216

Proper Divisor Sum 5,246,656

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3840547 ← → #3840601

Radix Representation

Decimal	3840560
Binary	1110101001101000110000 (22 bits)
Octal	0o16515060
Hexadecimal	0x3A9A30

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 61 80 122 244 305 488 610 787 976 1,220 1,574 2,440 3,148 3,935 4,880 6,296 7,870 12,592 15,740 31,480 48,007 62,960 96,014 192,028 240,035 384,056 480,070 768,112 960,140 1,920,280 3,840,560

Collatz Trajectory (172 steps to reach 1)

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

3,840,560 1,920,280 960,140 480,070 240,035 720,106 360,053 1,080,160 540,080 270,040 135,020 67,510 33,755 101,266 50,633 151,900 75,950 37,975 113,926 56,963 170,890 85,445 256,336 128,168 64,084 32,042 16,021 48,064 24,032 12,016 6,008 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067

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