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Atlas › Integer Profiles › Node 8,997,688

8,997,688

23 × 7 × 31 × 71 × 73
Abundant Even Composite

8,997,688 factors as 2^3 × 7 × 31 × 71 × 73. Its 64 positive divisors give a proper-divisor sum of 11,461,832, so this integer is abundant. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 31 × 71 × 73
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 20,459,520
Proper Divisor Sum 11,461,832
Digit Sum / Digital Root 55 (Root: 1)
Adjacent Primes #8997671 ← → #8997701

Radix Representation

Decimal 8997688
Binary 100010010100101100111000 (24 bits)
Octal 0o42245470
Hexadecimal 0x894B38

Divisor Catalog (60 of 64)

1 2 4 7 8 14 28 31 56 62 71 73 124 142 146 217 248 284 292 434 497 511 568 584 868 994 1,022 1,736 1,988 2,044 2,201 2,263 3,976 4,088 4,402 4,526 5,183 8,804 9,052 10,366 15,407 15,841 17,608 18,104 20,732 30,814 31,682 36,281 41,464 61,628 63,364 72,562 123,256 126,728 145,124 160,673 290,248 321,346 642,692 1,124,711

Collatz Trajectory (256 steps to reach 1)

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

8,997,688 4,498,844 2,249,422 1,124,711 3,374,134 1,687,067 5,061,202 2,530,601 7,591,804 3,795,902 1,897,951 5,693,854 2,846,927 8,540,782 4,270,391 12,811,174 6,405,587 19,216,762 9,608,381 28,825,144 14,412,572 7,206,286 3,603,143 10,809,430 5,404,715 16,214,146 8,107,073 24,321,220 12,160,610 6,080,305 18,240,916 9,120,458 4,560,229 13,680,688 6,840,344 3,420,172 1,710,086 855,043 2,565,130 1,282,565 3,847,696 1,923,848 961,924 480,962 240,481 721,444 360,722 180,361 541,084 270,542 135,271 405,814 202,907 608,722 304,361 913,084 456,542 228,271 684,814 342,407

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