λ
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27,308,596

22 × 7 × 17 × 103 × 557
Abundant Even Composite

27,308,596 factors as 2^2 × 7 × 17 × 103 × 557. Its 48 positive divisors give a proper-divisor sum of 31,187,660, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 17 × 103 × 557
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 58,496,256
Proper Divisor Sum 31,187,660
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #27308587 ← → #27308623

Radix Representation

Decimal 27308596
Binary 1101000001011001000110100 (25 bits)
Octal 0o150131064
Hexadecimal 0x1A0B234

Divisor Catalog (48)

1 2 4 7 14 17 28 34 68 103 119 206 238 412 476 557 721 1,114 1,442 1,751 2,228 2,884 3,502 3,899 7,004 7,798 9,469 12,257 15,596 18,938 24,514 37,876 49,028 57,371 66,283 114,742 132,566 229,484 265,132 401,597 803,194 975,307 1,606,388 1,950,614 3,901,228 6,827,149 13,654,298 27,308,596

Collatz Trajectory (105 steps to reach 1)

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

27,308,596 13,654,298 6,827,149 20,481,448 10,240,724 5,120,362 2,560,181 7,680,544 3,840,272 1,920,136 960,068 480,034 240,017 720,052 360,026 180,013 540,040 270,020 135,010 67,505 202,516 101,258 50,629 151,888 75,944 37,972 18,986 9,493 28,480 14,240 7,120 3,560 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858

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