27,187,025

5² × 73 × 14897

27,187,025 factors as 5^2 × 73 × 14897. Its 12 positive divisors give a proper-divisor sum of 6,988,987, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 5^2 × 73 × 14897

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 34,176,012

Proper Divisor Sum 6,988,987

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #27187019 ← → #27187033

Radix Representation

Decimal	27187025
Binary	1100111101101011101010001 (25 bits)
Octal	0o147553521
Hexadecimal	0x19ED751

Divisor Catalog (12)

1 5 25 73 365 1,825 14,897 74,485 372,425 1,087,481 5,437,405 27,187,025

Collatz Trajectory (211 steps to reach 1)

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

27,187,025 81,561,076 40,780,538 20,390,269 61,170,808 30,585,404 15,292,702 7,646,351 22,939,054 11,469,527 34,408,582 17,204,291 51,612,874 25,806,437 77,419,312 38,709,656 19,354,828 9,677,414 4,838,707 14,516,122 7,258,061 21,774,184 10,887,092 5,443,546 2,721,773 8,165,320 4,082,660 2,041,330 1,020,665 3,061,996 1,530,998 765,499 2,296,498 1,148,249 3,444,748 1,722,374 861,187 2,583,562 1,291,781 3,875,344 1,937,672 968,836 484,418 242,209 726,628 363,314 181,657 544,972 272,486 136,243 408,730 204,365 613,096 306,548 153,274 76,637 229,912 114,956 57,478 28,739

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