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Atlas › Integer Profiles › Node 11,711,876

11,711,876

22 × 11 × 23 × 71 × 163
Abundant Even Composite

11,711,876 factors as 2^2 × 11 × 23 × 71 × 163. Its 48 positive divisors give a proper-divisor sum of 12,093,052, so this integer is abundant. The Collatz stopping time is 228 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 23 × 71 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,804,928
Proper Divisor Sum 12,093,052
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #11711851 ← → #11711879

Radix Representation

Decimal 11711876
Binary 101100101011010110000100 (24 bits)
Octal 0o54532604
Hexadecimal 0xB2B584

Divisor Catalog (48)

1 2 4 11 22 23 44 46 71 92 142 163 253 284 326 506 652 781 1,012 1,562 1,633 1,793 3,124 3,266 3,586 3,749 6,532 7,172 7,498 11,573 14,996 17,963 23,146 35,926 41,239 46,292 71,852 82,478 127,303 164,956 254,606 266,179 509,212 532,358 1,064,716 2,927,969 5,855,938 11,711,876

Collatz Trajectory (228 steps to reach 1)

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

11,711,876 5,855,938 2,927,969 8,783,908 4,391,954 2,195,977 6,587,932 3,293,966 1,646,983 4,940,950 2,470,475 7,411,426 3,705,713 11,117,140 5,558,570 2,779,285 8,337,856 4,168,928 2,084,464 1,042,232 521,116 260,558 130,279 390,838 195,419 586,258 293,129 879,388 439,694 219,847 659,542 329,771 989,314 494,657 1,483,972 741,986 370,993 1,112,980 556,490 278,245 834,736 417,368 208,684 104,342 52,171 156,514 78,257 234,772 117,386 58,693 176,080 88,040 44,020 22,010 11,005 33,016 16,508 8,254 4,127 12,382

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