λ
Ratio Atlas
Atlas › Integer Profiles › Node 220,415
220,415
5 × 13 × 3391
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 13 × 3391
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 284,928
Proper Divisor Sum 64,513
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #220411 ← → #220421

Radix Representation

Decimal 220415
Binary 110101110011111111 (18 bits)
Octal 0o656377
Hexadecimal 0x35CFF

Divisor Catalog (8)

1 5 13 65 3,391 16,955 44,083 220,415

Collatz Trajectory (217 steps to reach 1)

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

220,415 661,246 330,623 991,870 495,935 1,487,806 743,903 2,231,710 1,115,855 3,347,566 1,673,783 5,021,350 2,510,675 7,532,026 3,766,013 11,298,040 5,649,020 2,824,510 1,412,255 4,236,766 2,118,383 6,355,150 3,177,575 9,532,726 4,766,363 14,299,090 7,149,545 21,448,636 10,724,318 5,362,159 16,086,478 8,043,239 24,129,718 12,064,859 36,194,578 18,097,289 54,291,868 27,145,934 13,572,967 40,718,902 20,359,451 61,078,354 30,539,177 91,617,532 45,808,766 22,904,383 68,713,150 34,356,575 103,069,726 51,534,863 154,604,590 77,302,295 231,906,886 115,953,443 347,860,330 173,930,165 521,790,496 260,895,248 130,447,624 65,223,812

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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