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3,633,280

27 × 5 × 7 × 811
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 5 × 7 × 811
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 9,938,880
Proper Divisor Sum 6,305,600
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #3633269 ← → #3633299

Radix Representation

Decimal 3633280
Binary 1101110111000010000000 (22 bits)
Octal 0o15670200
Hexadecimal 0x377080

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 811 896 1,120 1,622 2,240 3,244 4,055 4,480 5,677 6,488 8,110 11,354 12,976 16,220 22,708 25,952 28,385 32,440 45,416 51,904 56,770 64,880 90,832 103,808 113,540 129,760 181,664 227,080 259,520 363,328 454,160 519,040

Collatz Trajectory (66 steps to reach 1)

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

3,633,280 1,816,640 908,320 454,160 227,080 113,540 56,770 28,385 85,156 42,578 21,289 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20

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