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8,567,952

24 × 3 × 103 × 1733
Abundant Even Composite

8,567,952 factors as 2^4 × 3 × 103 × 1733. Its 40 positive divisors give a proper-divisor sum of 13,793,712, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 103 × 1733
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,361,664
Proper Divisor Sum 13,793,712
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #8567939 ← → #8567953

Radix Representation

Decimal 8567952
Binary 100000101011110010010000 (24 bits)
Octal 0o40536220
Hexadecimal 0x82BC90

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 103 206 309 412 618 824 1,236 1,648 1,733 2,472 3,466 4,944 5,199 6,932 10,398 13,864 20,796 27,728 41,592 83,184 178,499 356,998 535,497 713,996 1,070,994 1,427,992 2,141,988 2,855,984 4,283,976 8,567,952

Collatz Trajectory (168 steps to reach 1)

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

8,567,952 4,283,976 2,141,988 1,070,994 535,497 1,606,492 803,246 401,623 1,204,870 602,435 1,807,306 903,653 2,710,960 1,355,480 677,740 338,870 169,435 508,306 254,153 762,460 381,230 190,615 571,846 285,923 857,770 428,885 1,286,656 643,328 321,664 160,832 80,416 40,208 20,104 10,052 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253

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