λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,004,284
32,004,284
22 × 13 × 19 × 29 × 1117
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 13 × 19 × 29 × 1117
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 65,738,400
Proper Divisor Sum 33,734,116
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #32004283 ← → #32004289

Radix Representation

Decimal 32004284
Binary 1111010000101100010111100 (25 bits)
Octal 0o172054274
Hexadecimal 0x1E858BC

Divisor Catalog (48)

1 2 4 13 19 26 29 38 52 58 76 116 247 377 494 551 754 988 1,102 1,117 1,508 2,204 2,234 4,468 7,163 14,326 14,521 21,223 28,652 29,042 32,393 42,446 58,084 64,786 84,892 129,572 275,899 421,109 551,798 615,467 842,218 1,103,596 1,230,934 1,684,436 2,461,868 8,001,071 16,002,142 32,004,284

Collatz Trajectory (263 steps to reach 1)

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

32,004,284 16,002,142 8,001,071 24,003,214 12,001,607 36,004,822 18,002,411 54,007,234 27,003,617 81,010,852 40,505,426 20,252,713 60,758,140 30,379,070 15,189,535 45,568,606 22,784,303 68,352,910 34,176,455 102,529,366 51,264,683 153,794,050 76,897,025 230,691,076 115,345,538 57,672,769 173,018,308 86,509,154 43,254,577 129,763,732 64,881,866 32,440,933 97,322,800 48,661,400 24,330,700 12,165,350 6,082,675 18,248,026 9,124,013 27,372,040 13,686,020 6,843,010 3,421,505 10,264,516 5,132,258 2,566,129 7,698,388 3,849,194 1,924,597 5,773,792 2,886,896 1,443,448 721,724 360,862 180,431 541,294 270,647 811,942 405,971 1,217,914

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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