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Atlas › Integer Profiles › Node 866,112

866,112

26 × 3 × 13 × 347
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 13 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 2,474,976
Proper Divisor Sum 1,608,864
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #866101 ← → #866119

Radix Representation

Decimal 866112
Binary 11010011011101000000 (20 bits)
Octal 0o3233500
Hexadecimal 0xD3740

Divisor Catalog (56)

1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 347 416 624 694 832 1,041 1,248 1,388 2,082 2,496 2,776 4,164 4,511 5,552 8,328 9,022 11,104 13,533 16,656 18,044 22,208 27,066 33,312 36,088 54,132 66,624 72,176 108,264 144,352 216,528 288,704 433,056 866,112

Collatz Trajectory (144 steps to reach 1)

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

866,112 433,056 216,528 108,264 54,132 27,066 13,533 40,600 20,300 10,150 5,075 15,226 7,613 22,840 11,420 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155

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