λ
Ratio Atlas
Atlas › Integer Profiles › Node 227,920
227,920
24 × 5 × 7 × 11 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 7 × 11 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 678,528
Proper Divisor Sum 450,608
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #227893 ← → #227947

Radix Representation

Decimal 227920
Binary 110111101001010000 (18 bits)
Octal 0o675120
Hexadecimal 0x37A50

Divisor Catalog (60 of 80)

1 2 4 5 7 8 10 11 14 16 20 22 28 35 37 40 44 55 56 70 74 77 80 88 110 112 140 148 154 176 185 220 259 280 296 308 370 385 407 440 518 560 592 616 740 770 814 880 1,036 1,232 1,295 1,480 1,540 1,628 2,035 2,072 2,590 2,849 2,960 3,080

Collatz Trajectory (54 steps to reach 1)

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

227,920 113,960 56,980 28,490 14,245 42,736 21,368 10,684 5,342 2,671 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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 #227,919 Browse Full Index Next Integer #227,921 →