27,257,573

7² × 167 × 3331

27,257,573 factors as 7^2 × 167 × 3331. Its 12 positive divisors give a proper-divisor sum of 4,649,659, so this integer is deficient. The Collatz stopping time is 87 steps.

Prime Factor Structure

Factorization String 7^2 × 167 × 3331

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 31,907,232

Proper Divisor Sum 4,649,659

Digit Sum / Digital Root 38 (Root: 2)

Adjacent Primes #27257569 ← → #27257591

Radix Representation

Decimal	27257573
Binary	1100111111110101011100101 (25 bits)
Octal	0o147765345
Hexadecimal	0x19FEAE5

Divisor Catalog (12)

1 7 49 167 1,169 3,331 8,183 23,317 163,219 556,277 3,893,939 27,257,573

Collatz Trajectory (87 steps to reach 1)

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

27,257,573 81,772,720 40,886,360 20,443,180 10,221,590 5,110,795 15,332,386 7,666,193 22,998,580 11,499,290 5,749,645 17,248,936 8,624,468 4,312,234 2,156,117 6,468,352 3,234,176 1,617,088 808,544 404,272 202,136 101,068 50,534 25,267 75,802 37,901 113,704 56,852 28,426 14,213 42,640 21,320 10,660 5,330 2,665 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134

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