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891,702

2 × 33 × 72 × 337
Abundant Even Composite

891,702 factors as 2 × 3^3 × 7^2 × 337. Its 48 positive divisors give a proper-divisor sum of 1,420,218, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 7^2 × 337
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,311,920
Proper Divisor Sum 1,420,218
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #891679 ← → #891707

Radix Representation

Decimal 891702
Binary 11011001101100110110 (20 bits)
Octal 0o3315466
Hexadecimal 0xD9B36

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 337 378 441 674 882 1,011 1,323 2,022 2,359 2,646 3,033 4,718 6,066 7,077 9,099 14,154 16,513 18,198 21,231 33,026 42,462 49,539 63,693 99,078 127,386 148,617 297,234 445,851 891,702

Collatz Trajectory (144 steps to reach 1)

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

891,702 445,851 1,337,554 668,777 2,006,332 1,003,166 501,583 1,504,750 752,375 2,257,126 1,128,563 3,385,690 1,692,845 5,078,536 2,539,268 1,269,634 634,817 1,904,452 952,226 476,113 1,428,340 714,170 357,085 1,071,256 535,628 267,814 133,907 401,722 200,861 602,584 301,292 150,646 75,323 225,970 112,985 338,956 169,478 84,739 254,218 127,109 381,328 190,664 95,332 47,666 23,833 71,500 35,750 17,875 53,626 26,813 80,440 40,220 20,110 10,055 30,166 15,083 45,250 22,625 67,876 33,938

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