λ
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Atlas › Integer Profiles › Node 8,768,290

8,768,290

2 × 5 × 23 × 67 × 569
Deficient Even Composite

8,768,290 factors as 2 × 5 × 23 × 67 × 569. Its 32 positive divisors give a proper-divisor sum of 7,976,030, so this integer is deficient. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2 × 5 × 23 × 67 × 569
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,744,320
Proper Divisor Sum 7,976,030
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8768281 ← → #8768317

Radix Representation

Decimal 8768290
Binary 100001011100101100100010 (24 bits)
Octal 0o41345442
Hexadecimal 0x85CB22

Divisor Catalog (32)

1 2 5 10 23 46 67 115 134 230 335 569 670 1,138 1,541 2,845 3,082 5,690 7,705 13,087 15,410 26,174 38,123 65,435 76,246 130,870 190,615 381,230 876,829 1,753,658 4,384,145 8,768,290

Collatz Trajectory (150 steps to reach 1)

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

8,768,290 4,384,145 13,152,436 6,576,218 3,288,109 9,864,328 4,932,164 2,466,082 1,233,041 3,699,124 1,849,562 924,781 2,774,344 1,387,172 693,586 346,793 1,040,380 520,190 260,095 780,286 390,143 1,170,430 585,215 1,755,646 877,823 2,633,470 1,316,735 3,950,206 1,975,103 5,925,310 2,962,655 8,887,966 4,443,983 13,331,950 6,665,975 19,997,926 9,998,963 29,996,890 14,998,445 44,995,336 22,497,668 11,248,834 5,624,417 16,873,252 8,436,626 4,218,313 12,654,940 6,327,470 3,163,735 9,491,206 4,745,603 14,236,810 7,118,405 21,355,216 10,677,608 5,338,804 2,669,402 1,334,701 4,004,104 2,002,052

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