λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,152,240
29,152,240
24 × 5 × 13 × 28031
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 5 × 13 × 28031
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 72,995,328
Proper Divisor Sum 43,843,088
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #29152219 ← → #29152241

Radix Representation

Decimal 29152240
Binary 1101111001101001111110000 (25 bits)
Octal 0o157151760
Hexadecimal 0x1BCD3F0

Divisor Catalog (40)

1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1,040 28,031 56,062 112,124 140,155 224,248 280,310 364,403 448,496 560,620 728,806 1,121,240 1,457,612 1,822,015 2,242,480 2,915,224 3,644,030 5,830,448 7,288,060 14,576,120 29,152,240

Collatz Trajectory (237 steps to reach 1)

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

29,152,240 14,576,120 7,288,060 3,644,030 1,822,015 5,466,046 2,733,023 8,199,070 4,099,535 12,298,606 6,149,303 18,447,910 9,223,955 27,671,866 13,835,933 41,507,800 20,753,900 10,376,950 5,188,475 15,565,426 7,782,713 23,348,140 11,674,070 5,837,035 17,511,106 8,755,553 26,266,660 13,133,330 6,566,665 19,699,996 9,849,998 4,924,999 14,774,998 7,387,499 22,162,498 11,081,249 33,243,748 16,621,874 8,310,937 24,932,812 12,466,406 6,233,203 18,699,610 9,349,805 28,049,416 14,024,708 7,012,354 3,506,177 10,518,532 5,259,266 2,629,633 7,888,900 3,944,450 1,972,225 5,916,676 2,958,338 1,479,169 4,437,508 2,218,754 1,109,377

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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