8,001,760

2⁵ × 5 × 13 × 3847

8,001,760 is even and not a perfect square. Its factorization is 2^5 × 5 × 13 × 3847 and its 48 divisors sum to 20,363,616.

Prime Factor Structure

Factorization String 2^5 × 5 × 13 × 3847

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 20,363,616

Proper Divisor Sum 12,361,856

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #8001739 ← → #8001779

Radix Representation

Decimal	8001760
Binary	11110100001100011100000 (23 bits)
Octal	0o36414340
Hexadecimal	0x7A18E0

Divisor Catalog (48)

1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 1,040 2,080 3,847 7,694 15,388 19,235 30,776 38,470 50,011 61,552 76,940 100,022 123,104 153,880 200,044 250,055 307,760 400,088 500,110 615,520 800,176 1,000,220 1,600,352 2,000,440 4,000,880 8,001,760

Collatz Trajectory (142 steps to reach 1)

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

8,001,760 4,000,880 2,000,440 1,000,220 500,110 250,055 750,166 375,083 1,125,250 562,625 1,687,876 843,938 421,969 1,265,908 632,954 316,477 949,432 474,716 237,358 118,679 356,038 178,019 534,058 267,029 801,088 400,544 200,272 100,136 50,068 25,034 12,517 37,552 18,776 9,388 4,694 2,347 7,042 3,521 10,564 5,282 2,641 7,924 3,962 1,981 5,944 2,972 1,486 743 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476

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