8,511,125

5³ × 7 × 71 × 137

8,511,125 factors as 5^3 × 7 × 71 × 137. Its 32 positive divisors give a proper-divisor sum of 3,889,003, so this integer is deficient. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 5^3 × 7 × 71 × 137

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 12,400,128

Proper Divisor Sum 3,889,003

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8511121 ← → #8511131

Radix Representation

Decimal	8511125
Binary	100000011101111010010101 (24 bits)
Octal	0o40357225
Hexadecimal	0x81DE95

Divisor Catalog (32)

Collatz Trajectory (274 steps to reach 1)

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

8,511,125 25,533,376 12,766,688 6,383,344 3,191,672 1,595,836 797,918 398,959 1,196,878 598,439 1,795,318 897,659 2,692,978 1,346,489 4,039,468 2,019,734 1,009,867 3,029,602 1,514,801 4,544,404 2,272,202 1,136,101 3,408,304 1,704,152 852,076 426,038 213,019 639,058 319,529 958,588 479,294 239,647 718,942 359,471 1,078,414 539,207 1,617,622 808,811 2,426,434 1,213,217 3,639,652 1,819,826 909,913 2,729,740 1,364,870 682,435 2,047,306 1,023,653 3,070,960 1,535,480 767,740 383,870 191,935 575,806 287,903 863,710 431,855 1,295,566 647,783 1,943,350

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