λ
Ratio Atlas
Atlas › Integer Profiles › Node 29,366,337
29,366,337
3 × 72 × 112 × 13 × 127
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 11^2 × 13 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 54,340,608
Proper Divisor Sum 24,974,271
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #29366333 ← → #29366339

Radix Representation

Decimal 29366337
Binary 1110000000001100001000001 (25 bits)
Octal 0o160014101
Hexadecimal 0x1C01841

Divisor Catalog (60 of 72)

1 3 7 11 13 21 33 39 49 77 91 121 127 143 147 231 273 363 381 429 539 637 847 889 1,001 1,397 1,573 1,617 1,651 1,911 2,541 2,667 3,003 4,191 4,719 4,953 5,929 6,223 7,007 9,779 11,011 11,557 15,367 17,787 18,161 18,669 21,021 29,337 33,033 34,671 46,101 54,483 68,453 77,077 80,899 107,569 127,127 199,771 205,359 231,231

Collatz Trajectory (175 steps to reach 1)

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

29,366,337 88,099,012 44,049,506 22,024,753 66,074,260 33,037,130 16,518,565 49,555,696 24,777,848 12,388,924 6,194,462 3,097,231 9,291,694 4,645,847 13,937,542 6,968,771 20,906,314 10,453,157 31,359,472 15,679,736 7,839,868 3,919,934 1,959,967 5,879,902 2,939,951 8,819,854 4,409,927 13,229,782 6,614,891 19,844,674 9,922,337 29,767,012 14,883,506 7,441,753 22,325,260 11,162,630 5,581,315 16,743,946 8,371,973 25,115,920 12,557,960 6,278,980 3,139,490 1,569,745 4,709,236 2,354,618 1,177,309 3,531,928 1,765,964 882,982 441,491 1,324,474 662,237 1,986,712 993,356 496,678 248,339 745,018 372,509 1,117,528

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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