λ
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Atlas › Integer Profiles › Node 27,888,466

27,888,466

2 × 17 × 19 × 23 × 1877
Deficient Even Composite

27,888,466 factors as 2 × 17 × 19 × 23 × 1877. Its 32 positive divisors give a proper-divisor sum of 20,789,294, so this integer is deficient. The Collatz stopping time is 268 steps.

Prime Factor Structure

Factorization String 2 × 17 × 19 × 23 × 1877
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 48,677,760
Proper Divisor Sum 20,789,294
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #27888463 ← → #27888473

Radix Representation

Decimal 27888466
Binary 1101010011000101101010010 (25 bits)
Octal 0o152305522
Hexadecimal 0x1A98B52

Divisor Catalog (32)

1 2 17 19 23 34 38 46 323 391 437 646 782 874 1,877 3,754 7,429 14,858 31,909 35,663 43,171 63,818 71,326 86,342 606,271 733,907 820,249 1,212,542 1,467,814 1,640,498 13,944,233 27,888,466

Collatz Trajectory (268 steps to reach 1)

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

27,888,466 13,944,233 41,832,700 20,916,350 10,458,175 31,374,526 15,687,263 47,061,790 23,530,895 70,592,686 35,296,343 105,889,030 52,944,515 158,833,546 79,416,773 238,250,320 119,125,160 59,562,580 29,781,290 14,890,645 44,671,936 22,335,968 11,167,984 5,583,992 2,791,996 1,395,998 697,999 2,093,998 1,046,999 3,140,998 1,570,499 4,711,498 2,355,749 7,067,248 3,533,624 1,766,812 883,406 441,703 1,325,110 662,555 1,987,666 993,833 2,981,500 1,490,750 745,375 2,236,126 1,118,063 3,354,190 1,677,095 5,031,286 2,515,643 7,546,930 3,773,465 11,320,396 5,660,198 2,830,099 8,490,298 4,245,149 12,735,448 6,367,724

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