λ
Ratio Atlas
Atlas › Integer Profiles › Node 404,404
404,404
22 × 7 × 11 × 13 × 101
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 13 × 101
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 959,616
Proper Divisor Sum 555,212
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #404399 ← → #404419

Radix Representation

Decimal 404404
Binary 1100010101110110100 (19 bits)
Octal 0o1425664
Hexadecimal 0x62BB4

Divisor Catalog (48)

1 2 4 7 11 13 14 22 26 28 44 52 77 91 101 143 154 182 202 286 308 364 404 572 707 1,001 1,111 1,313 1,414 2,002 2,222 2,626 2,828 4,004 4,444 5,252 7,777 9,191 14,443 15,554 18,382 28,886 31,108 36,764 57,772 101,101 202,202 404,404

Collatz Trajectory (68 steps to reach 1)

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

404,404 202,202 101,101 303,304 151,652 75,826 37,913 113,740 56,870 28,435 85,306 42,653 127,960 63,980 31,990 15,995 47,986 23,993 71,980 35,990 17,995 53,986 26,993 80,980 40,490 20,245 60,736 30,368 15,184 7,592 3,796 1,898 949 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
← Previous Integer #404,403 Browse Full Index Next Integer #404,405 →