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Atlas › Integer Profiles › Node 8,367,200

8,367,200

25 × 52 × 10459
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5^2 × 10459
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 20,428,380
Proper Divisor Sum 12,061,180
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8367197 ← → #8367221

Radix Representation

Decimal 8367200
Binary 11111111010110001100000 (23 bits)
Octal 0o37726140
Hexadecimal 0x7FAC60

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 10,459 20,918 41,836 52,295 83,672 104,590 167,344 209,180 261,475 334,688 418,360 522,950 836,720 1,045,900 1,673,440 2,091,800 4,183,600 8,367,200

Collatz Trajectory (75 steps to reach 1)

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

8,367,200 4,183,600 2,091,800 1,045,900 522,950 261,475 784,426 392,213 1,176,640 588,320 294,160 147,080 73,540 36,770 18,385 55,156 27,578 13,789 41,368 20,684 10,342 5,171 15,514 7,757 23,272 11,636 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7

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