λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,543,748
29,543,748
22 × 3 × 13 × 229 × 827
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 229 × 827
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 74,652,480
Proper Divisor Sum 45,108,732
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #29543743 ← → #29543749

Radix Representation

Decimal 29543748
Binary 1110000101100110101000100 (25 bits)
Octal 0o160546504
Hexadecimal 0x1C2CD44

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 78 156 229 458 687 827 916 1,374 1,654 2,481 2,748 2,977 3,308 4,962 5,954 8,931 9,924 10,751 11,908 17,862 21,502 32,253 35,724 43,004 64,506 129,012 189,383 378,766 568,149 757,532 1,136,298 2,272,596 2,461,979 4,923,958 7,385,937 9,847,916 14,771,874 29,543,748

Collatz Trajectory (312 steps to reach 1)

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

29,543,748 14,771,874 7,385,937 22,157,812 11,078,906 5,539,453 16,618,360 8,309,180 4,154,590 2,077,295 6,231,886 3,115,943 9,347,830 4,673,915 14,021,746 7,010,873 21,032,620 10,516,310 5,258,155 15,774,466 7,887,233 23,661,700 11,830,850 5,915,425 17,746,276 8,873,138 4,436,569 13,309,708 6,654,854 3,327,427 9,982,282 4,991,141 14,973,424 7,486,712 3,743,356 1,871,678 935,839 2,807,518 1,403,759 4,211,278 2,105,639 6,316,918 3,158,459 9,475,378 4,737,689 14,213,068 7,106,534 3,553,267 10,659,802 5,329,901 15,989,704 7,994,852 3,997,426 1,998,713 5,996,140 2,998,070 1,499,035 4,497,106 2,248,553 6,745,660

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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