166,509

3³ × 7 × 881

166,509 factors as 3^3 × 7 × 881. Its 16 positive divisors give a proper-divisor sum of 115,731, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 3^3 × 7 × 881

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 282,240

Proper Divisor Sum 115,731

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #166487 ← → #166541

Radix Representation

Decimal	166509
Binary	101000101001101101 (18 bits)
Octal	0o505155
Hexadecimal	0x28A6D

Divisor Catalog (16)

1 3 7 9 21 27 63 189 881 2,643 6,167 7,929 18,501 23,787 55,503 166,509

Collatz Trajectory (139 steps to reach 1)

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

166,509 499,528 249,764 124,882 62,441 187,324 93,662 46,831 140,494 70,247 210,742 105,371 316,114 158,057 474,172 237,086 118,543 355,630 177,815 533,446 266,723 800,170 400,085 1,200,256 600,128 300,064 150,032 75,016 37,508 18,754 9,377 28,132 14,066 7,033 21,100 10,550 5,275 15,826 7,913 23,740 11,870 5,935 17,806 8,903 26,710 13,355 40,066 20,033 60,100 30,050 15,025 45,076 22,538 11,269 33,808 16,904 8,452 4,226 2,113 6,340

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