λ
Modular Archive

180,585

32 × 5 × 4013
Deficient Odd Composite

The decimal integer 180,585 is 101100000101101001 in binary (18 bits), 540551 in octal and 2C169 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^2 × 5 × 4013
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 313,092
Proper Divisor Sum 132,507
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #180569 ← → #180617

Radix Representation

Decimal 180585
Binary 101100000101101001 (18 bits)
Octal 0o540551
Hexadecimal 0x2C169

Divisor Catalog (12)

1 3 5 9 15 45 4,013 12,039 20,065 36,117 60,195 180,585

Collatz Trajectory (46 steps to reach 1)

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

180,585 541,756 270,878 135,439 406,318 203,159 609,478 304,739 914,218 457,109 1,371,328 685,664 342,832 171,416 85,708 42,854 21,427 64,282 32,141 96,424 48,212 24,106 12,053 36,160 18,080 9,040 4,520 2,260 1,130 565 1,696 848 424 212 106 53 160 80 40 20 10 5 16 8 4 2 1

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