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27,312,304

24 × 103 × 16573
Deficient Even Composite

27,312,304 factors as 2^4 × 103 × 16573. Its 20 positive divisors give a proper-divisor sum of 26,122,272, so this integer is deficient. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^4 × 103 × 16573
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 53,434,576
Proper Divisor Sum 26,122,272
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #27312301 ← → #27312317

Radix Representation

Decimal 27312304
Binary 1101000001100000010110000 (25 bits)
Octal 0o150140260
Hexadecimal 0x1A0C0B0

Divisor Catalog (20)

1 2 4 8 16 103 206 412 824 1,648 16,573 33,146 66,292 132,584 265,168 1,707,019 3,414,038 6,828,076 13,656,152 27,312,304

Collatz Trajectory (180 steps to reach 1)

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

27,312,304 13,656,152 6,828,076 3,414,038 1,707,019 5,121,058 2,560,529 7,681,588 3,840,794 1,920,397 5,761,192 2,880,596 1,440,298 720,149 2,160,448 1,080,224 540,112 270,056 135,028 67,514 33,757 101,272 50,636 25,318 12,659 37,978 18,989 56,968 28,484 14,242 7,121 21,364 10,682 5,341 16,024 8,012 4,006 2,003 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283 12,850 6,425 19,276 9,638 4,819

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