27,925,525

5² × 1117021

27,925,525 factors as 5^2 × 1117021. Its 6 positive divisors give a proper-divisor sum of 6,702,157, so this integer is deficient. The Collatz stopping time is 100 steps.

Prime Factor Structure

Factorization String 5^2 × 1117021

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 34,627,682

Proper Divisor Sum 6,702,157

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #27925511 ← → #27925529

Radix Representation

Decimal	27925525
Binary	1101010100001110000010101 (25 bits)
Octal	0o152416025
Hexadecimal	0x1AA1C15

Divisor Catalog (6)

1 5 25 1,117,021 5,585,105 27,925,525

Collatz Trajectory (100 steps to reach 1)

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

27,925,525 83,776,576 41,888,288 20,944,144 10,472,072 5,236,036 2,618,018 1,309,009 3,927,028 1,963,514 981,757 2,945,272 1,472,636 736,318 368,159 1,104,478 552,239 1,656,718 828,359 2,485,078 1,242,539 3,727,618 1,863,809 5,591,428 2,795,714 1,397,857 4,193,572 2,096,786 1,048,393 3,145,180 1,572,590 786,295 2,358,886 1,179,443 3,538,330 1,769,165 5,307,496 2,653,748 1,326,874 663,437 1,990,312 995,156 497,578 248,789 746,368 373,184 186,592 93,296 46,648 23,324 11,662 5,831 17,494 8,747 26,242 13,121 39,364 19,682 9,841 29,524

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