λ
Ratio Atlas
Atlas › Integer Profiles › Node 309,520
309,520
24 × 5 × 53 × 73
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 53 × 73
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 743,256
Proper Divisor Sum 433,736
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #309503 ← → #309521

Radix Representation

Decimal 309520
Binary 1001011100100010000 (19 bits)
Octal 0o1134420
Hexadecimal 0x4B910

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 53 73 80 106 146 212 265 292 365 424 530 584 730 848 1,060 1,168 1,460 2,120 2,920 3,869 4,240 5,840 7,738 15,476 19,345 30,952 38,690 61,904 77,380 154,760 309,520

Collatz Trajectory (65 steps to reach 1)

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

309,520 154,760 77,380 38,690 19,345 58,036 29,018 14,509 43,528 21,764 10,882 5,441 16,324 8,162 4,081 12,244 6,122 3,061 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 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 #309,519 Browse Full Index Next Integer #309,521 →