166,625

5³ × 31 × 43

For 166,625, the 16 positive divisors have a total of 219,648. Removing 166,625 leaves 53,023, which gives the deficient classification.

Prime Factor Structure

Factorization String 5^3 × 31 × 43

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 219,648

Proper Divisor Sum 53,023

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #166619 ← → #166627

Radix Representation

Decimal	166625
Binary	101000101011100001 (18 bits)
Octal	0o505341
Hexadecimal	0x28AE1

Divisor Catalog (16)

1 5 25 31 43 125 155 215 775 1,075 1,333 3,875 5,375 6,665 33,325 166,625

Collatz Trajectory (183 steps to reach 1)

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

166,625 499,876 249,938 124,969 374,908 187,454 93,727 281,182 140,591 421,774 210,887 632,662 316,331 948,994 474,497 1,423,492 711,746 355,873 1,067,620 533,810 266,905 800,716 400,358 200,179 600,538 300,269 900,808 450,404 225,202 112,601 337,804 168,902 84,451 253,354 126,677 380,032 190,016 95,008 47,504 23,752 11,876 5,938 2,969 8,908 4,454 2,227 6,682 3,341 10,024 5,012 2,506 1,253 3,760 1,880 940 470 235 706 353 1,060

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