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Atlas › Integer Profiles › Node 3,676,800

3,676,800

27 × 3 × 52 × 383
Abundant Even Composite

Prime Factor Structure

Factorization String 2^7 × 3 × 5^2 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 12,142,080
Proper Divisor Sum 8,465,280
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3676793 ← → #3676819

Radix Representation

Decimal 3676800
Binary 1110000001101010000000 (22 bits)
Octal 0o16015200
Hexadecimal 0x381A80

Divisor Catalog (60 of 96)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 128 150 160 192 200 240 300 320 383 384 400 480 600 640 766 800 960 1,149 1,200 1,532 1,600 1,915 1,920 2,298 2,400 3,064 3,200 3,830 4,596 4,800 5,745 6,128 7,660 9,192

Collatz Trajectory (79 steps to reach 1)

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

3,676,800 1,838,400 919,200 459,600 229,800 114,900 57,450 28,725 86,176 43,088 21,544 10,772 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98 49 148 74 37 112

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