λ
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Atlas › Integer Profiles › Node 94,663,888

94,663,888

24 × 11 × 17 × 29 × 1091
Abundant Even Composite

94,663,888 factors as 2^4 × 11 × 17 × 29 × 1091. Its 80 positive divisors give a proper-divisor sum of 124,697,072, so this integer is abundant. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 17 × 29 × 1091
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 219,360,960
Proper Divisor Sum 124,697,072
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #94663879 ← → #94663889

Radix Representation

Decimal 94663888
Binary 101101001000111010011010000 (27 bits)
Octal 0o551072320
Hexadecimal 0x5A474D0

Divisor Catalog (60 of 80)

1 2 4 8 11 16 17 22 29 34 44 58 68 88 116 136 176 187 232 272 319 374 464 493 638 748 986 1,091 1,276 1,496 1,972 2,182 2,552 2,992 3,944 4,364 5,104 5,423 7,888 8,728 10,846 12,001 17,456 18,547 21,692 24,002 31,639 37,094 43,384 48,004 63,278 74,188 86,768 96,008 126,556 148,376 192,016 204,017 253,112 296,752

Collatz Trajectory (218 steps to reach 1)

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

94,663,888 47,331,944 23,665,972 11,832,986 5,916,493 17,749,480 8,874,740 4,437,370 2,218,685 6,656,056 3,328,028 1,664,014 832,007 2,496,022 1,248,011 3,744,034 1,872,017 5,616,052 2,808,026 1,404,013 4,212,040 2,106,020 1,053,010 526,505 1,579,516 789,758 394,879 1,184,638 592,319 1,776,958 888,479 2,665,438 1,332,719 3,998,158 1,999,079 5,997,238 2,998,619 8,995,858 4,497,929 13,493,788 6,746,894 3,373,447 10,120,342 5,060,171 15,180,514 7,590,257 22,770,772 11,385,386 5,692,693 17,078,080 8,539,040 4,269,520 2,134,760 1,067,380 533,690 266,845 800,536 400,268 200,134 100,067

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