λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,257,564
29,257,564
22 × 7 × 23 × 181 × 251
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 23 × 181 × 251
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 61,641,216
Proper Divisor Sum 32,383,652
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #29257531 ← → #29257589

Radix Representation

Decimal 29257564
Binary 1101111100110111101011100 (25 bits)
Octal 0o157467534
Hexadecimal 0x1BE6F5C

Divisor Catalog (48)

1 2 4 7 14 23 28 46 92 161 181 251 322 362 502 644 724 1,004 1,267 1,757 2,534 3,514 4,163 5,068 5,773 7,028 8,326 11,546 16,652 23,092 29,141 40,411 45,431 58,282 80,822 90,862 116,564 161,644 181,724 318,017 636,034 1,044,913 1,272,068 2,089,826 4,179,652 7,314,391 14,628,782 29,257,564

Collatz Trajectory (312 steps to reach 1)

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

29,257,564 14,628,782 7,314,391 21,943,174 10,971,587 32,914,762 16,457,381 49,372,144 24,686,072 12,343,036 6,171,518 3,085,759 9,257,278 4,628,639 13,885,918 6,942,959 20,828,878 10,414,439 31,243,318 15,621,659 46,864,978 23,432,489 70,297,468 35,148,734 17,574,367 52,723,102 26,361,551 79,084,654 39,542,327 118,626,982 59,313,491 177,940,474 88,970,237 266,910,712 133,455,356 66,727,678 33,363,839 100,091,518 50,045,759 150,137,278 75,068,639 225,205,918 112,602,959 337,808,878 168,904,439 506,713,318 253,356,659 760,069,978 380,034,989 1,140,104,968 570,052,484 285,026,242 142,513,121 427,539,364 213,769,682 106,884,841 320,654,524 160,327,262 80,163,631 240,490,894

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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