λ
Ratio Atlas
Atlas › Integer Profiles › Node 55,417,840
55,417,840
24 × 5 × 29 × 23887
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 29 × 23887
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 133,295,040
Proper Divisor Sum 77,877,200
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #55417837 ← → #55417849

Radix Representation

Decimal 55417840
Binary 11010011011001101111110000 (26 bits)
Octal 0o323315760
Hexadecimal 0x34D9BF0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1,160 2,320 23,887 47,774 95,548 119,435 191,096 238,870 382,192 477,740 692,723 955,480 1,385,446 1,910,960 2,770,892 3,463,615 5,541,784 6,927,230 11,083,568 13,854,460 27,708,920 55,417,840

Collatz Trajectory (119 steps to reach 1)

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

55,417,840 27,708,920 13,854,460 6,927,230 3,463,615 10,390,846 5,195,423 15,586,270 7,793,135 23,379,406 11,689,703 35,069,110 17,534,555 52,603,666 26,301,833 78,905,500 39,452,750 19,726,375 59,179,126 29,589,563 88,768,690 44,384,345 133,153,036 66,576,518 33,288,259 99,864,778 49,932,389 149,797,168 74,898,584 37,449,292 18,724,646 9,362,323 28,086,970 14,043,485 42,130,456 21,065,228 10,532,614 5,266,307 15,798,922 7,899,461 23,698,384 11,849,192 5,924,596 2,962,298 1,481,149 4,443,448 2,221,724 1,110,862 555,431 1,666,294 833,147 2,499,442 1,249,721 3,749,164 1,874,582 937,291 2,811,874 1,405,937 4,217,812 2,108,906

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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