27,875,728

2⁴ × 29 × 60077

27,875,728 factors as 2^4 × 29 × 60077. Its 20 positive divisors give a proper-divisor sum of 27,996,812, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^4 × 29 × 60077

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 55,872,540

Proper Divisor Sum 27,996,812

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #27875723 ← → #27875737

Radix Representation

Decimal	27875728
Binary	1101010010101100110010000 (25 bits)
Octal	0o152254620
Hexadecimal	0x1A95990

Divisor Catalog (20)

Collatz Trajectory (100 steps to reach 1)

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

27,875,728 13,937,864 6,968,932 3,484,466 1,742,233 5,226,700 2,613,350 1,306,675 3,920,026 1,960,013 5,880,040 2,940,020 1,470,010 735,005 2,205,016 1,102,508 551,254 275,627 826,882 413,441 1,240,324 620,162 310,081 930,244 465,122 232,561 697,684 348,842 174,421 523,264 261,632 130,816 65,408 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182 2,591 7,774 3,887 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524

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