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893,904

24 × 3 × 11 × 1693
Abundant Even Composite

893,904 factors as 2^4 × 3 × 11 × 1693. Its 40 positive divisors give a proper-divisor sum of 1,626,768, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 11 × 1693
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,520,672
Proper Divisor Sum 1,626,768
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #893903 ← → #893917

Radix Representation

Decimal 893904
Binary 11011010001111010000 (20 bits)
Octal 0o3321720
Hexadecimal 0xDA3D0

Divisor Catalog (40)

1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 1,693 3,386 5,079 6,772 10,158 13,544 18,623 20,316 27,088 37,246 40,632 55,869 74,492 81,264 111,738 148,984 223,476 297,968 446,952 893,904

Collatz Trajectory (95 steps to reach 1)

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

893,904 446,952 223,476 111,738 55,869 167,608 83,804 41,902 20,951 62,854 31,427 94,282 47,141 141,424 70,712 35,356 17,678 8,839 26,518 13,259 39,778 19,889 59,668 29,834 14,917 44,752 22,376 11,188 5,594 2,797 8,392 4,196 2,098 1,049 3,148 1,574 787 2,362 1,181 3,544 1,772 886 443 1,330 665 1,996 998 499 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952

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