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Atlas › Integer Profiles › Node 8,367,296

8,367,296

26 × 7 × 19 × 983
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 7 × 19 × 983
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 19,994,880
Proper Divisor Sum 11,627,584
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8367253 ← → #8367299

Radix Representation

Decimal 8367296
Binary 11111111010110011000000 (23 bits)
Octal 0o37726300
Hexadecimal 0x7FACC0

Divisor Catalog (56)

1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 983 1,064 1,216 1,966 2,128 3,932 4,256 6,881 7,864 8,512 13,762 15,728 18,677 27,524 31,456 37,354 55,048 62,912 74,708 110,096 130,739 149,416 220,192 261,478 298,832 440,384 522,956 597,664 1,045,912 1,195,328 2,091,824 4,183,648 8,367,296

Collatz Trajectory (75 steps to reach 1)

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

8,367,296 4,183,648 2,091,824 1,045,912 522,956 261,478 130,739 392,218 196,109 588,328 294,164 147,082 73,541 220,624 110,312 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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