27,442,921

11² × 337 × 673

27,442,921 factors as 11^2 × 337 × 673. Its 12 positive divisors give a proper-divisor sum of 2,856,075, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 11^2 × 337 × 673

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 30,298,996

Proper Divisor Sum 2,856,075

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #27442907 ← → #27442927

Radix Representation

Decimal	27442921
Binary	1101000101011111011101001 (25 bits)
Octal	0o150537351
Hexadecimal	0x1A2BEE9

Divisor Catalog (12)

1 11 121 337 673 3,707 7,403 40,777 81,433 226,801 2,494,811 27,442,921

Collatz Trajectory (105 steps to reach 1)

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

27,442,921 82,328,764 41,164,382 20,582,191 61,746,574 30,873,287 92,619,862 46,309,931 138,929,794 69,464,897 208,394,692 104,197,346 52,098,673 156,296,020 78,148,010 39,074,005 117,222,016 58,611,008 29,305,504 14,652,752 7,326,376 3,663,188 1,831,594 915,797 2,747,392 1,373,696 686,848 343,424 171,712 85,856 42,928 21,464 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809

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