λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,272,000
3,272,000
26 × 53 × 409
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5^3 × 409
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 8,122,920
Proper Divisor Sum 4,850,920
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #3271993 ← → #3272011

Radix Representation

Decimal 3272000
Binary 1100011110110101000000 (22 bits)
Octal 0o14366500
Hexadecimal 0x31ED40

Divisor Catalog (56)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 409 500 800 818 1,000 1,600 1,636 2,000 2,045 3,272 4,000 4,090 6,544 8,000 8,180 10,225 13,088 16,360 20,450 26,176 32,720 40,900 51,125 65,440 81,800 102,250 130,880 163,600 204,500 327,200 409,000 654,400 818,000 1,636,000 3,272,000

Collatz Trajectory (84 steps to reach 1)

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

3,272,000 1,636,000 818,000 409,000 204,500 102,250 51,125 153,376 76,688 38,344 19,172 9,586 4,793 14,380 7,190 3,595 10,786 5,393 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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