λ
Ratio Atlas
Atlas › Integer Profiles › Node 327,200
327,200
25 × 52 × 409
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5^2 × 409
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 800,730
Proper Divisor Sum 473,530
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #327193 ← → #327203

Radix Representation

Decimal 327200
Binary 1001111111000100000 (19 bits)
Octal 0o1177040
Hexadecimal 0x4FE20

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 409 800 818 1,636 2,045 3,272 4,090 6,544 8,180 10,225 13,088 16,360 20,450 32,720 40,900 65,440 81,800 163,600 327,200

Collatz Trajectory (65 steps to reach 1)

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

327,200 163,600 81,800 40,900 20,450 10,225 30,676 15,338 7,669 23,008 11,504 5,752 2,876 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #327,199 Browse Full Index Next Integer #327,201 →