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3,889,480

23 × 5 × 7 × 29 × 479
Abundant Even Composite

3,889,480 factors as 2^3 × 5 × 7 × 29 × 479. Its 64 positive divisors give a proper-divisor sum of 6,478,520, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 7 × 29 × 479
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 10,368,000
Proper Divisor Sum 6,478,520
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #3889453 ← → #3889489

Radix Representation

Decimal 3889480
Binary 1110110101100101001000 (22 bits)
Octal 0o16654510
Hexadecimal 0x3B5948

Divisor Catalog (60 of 64)

1 2 4 5 7 8 10 14 20 28 29 35 40 56 58 70 116 140 145 203 232 280 290 406 479 580 812 958 1,015 1,160 1,624 1,916 2,030 2,395 3,353 3,832 4,060 4,790 6,706 8,120 9,580 13,412 13,891 16,765 19,160 26,824 27,782 33,530 55,564 67,060 69,455 97,237 111,128 134,120 138,910 194,474 277,820 388,948 486,185 555,640

Collatz Trajectory (185 steps to reach 1)

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

3,889,480 1,944,740 972,370 486,185 1,458,556 729,278 364,639 1,093,918 546,959 1,640,878 820,439 2,461,318 1,230,659 3,691,978 1,845,989 5,537,968 2,768,984 1,384,492 692,246 346,123 1,038,370 519,185 1,557,556 778,778 389,389 1,168,168 584,084 292,042 146,021 438,064 219,032 109,516 54,758 27,379 82,138 41,069 123,208 61,604 30,802 15,401 46,204 23,102 11,551 34,654 17,327 51,982 25,991 77,974 38,987 116,962 58,481 175,444 87,722 43,861 131,584 65,792 32,896 16,448 8,224 4,112

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