27,849,860

2² × 5 × 29 × 48017

27,849,860 factors as 2^2 × 5 × 29 × 48017. Its 24 positive divisors give a proper-divisor sum of 32,652,820, so this integer is abundant. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 48017

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 60,502,680

Proper Divisor Sum 32,652,820

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #27849847 ← → #27849881

Radix Representation

Decimal	27849860
Binary	1101010001111010010000100 (25 bits)
Octal	0o152172204
Hexadecimal	0x1A8F484

Divisor Catalog (24)

Collatz Trajectory (100 steps to reach 1)

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

27,849,860 13,924,930 6,962,465 20,887,396 10,443,698 5,221,849 15,665,548 7,832,774 3,916,387 11,749,162 5,874,581 17,623,744 8,811,872 4,405,936 2,202,968 1,101,484 550,742 275,371 826,114 413,057 1,239,172 619,586 309,793 929,380 464,690 232,345 697,036 348,518 174,259 522,778 261,389 784,168 392,084 196,042 98,021 294,064 147,032 73,516 36,758 18,379 55,138 27,569 82,708 41,354 20,677 62,032 31,016 15,508 7,754 3,877 11,632 5,816 2,908 1,454 727 2,182 1,091 3,274 1,637 4,912

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