λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,429,191
7,429,191
3 × 7 × 11 × 29 × 1109
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 11 × 29 × 1109
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,787,200
Proper Divisor Sum 5,358,009
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #7429183 ← → #7429199

Radix Representation

Decimal 7429191
Binary 11100010101110001000111 (23 bits)
Octal 0o34256107
Hexadecimal 0x715C47

Divisor Catalog (32)

1 3 7 11 21 29 33 77 87 203 231 319 609 957 1,109 2,233 3,327 6,699 7,763 12,199 23,289 32,161 36,597 85,393 96,483 225,127 256,179 353,771 675,381 1,061,313 2,476,397 7,429,191

Collatz Trajectory (310 steps to reach 1)

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

7,429,191 22,287,574 11,143,787 33,431,362 16,715,681 50,147,044 25,073,522 12,536,761 37,610,284 18,805,142 9,402,571 28,207,714 14,103,857 42,311,572 21,155,786 10,577,893 31,733,680 15,866,840 7,933,420 3,966,710 1,983,355 5,950,066 2,975,033 8,925,100 4,462,550 2,231,275 6,693,826 3,346,913 10,040,740 5,020,370 2,510,185 7,530,556 3,765,278 1,882,639 5,647,918 2,823,959 8,471,878 4,235,939 12,707,818 6,353,909 19,061,728 9,530,864 4,765,432 2,382,716 1,191,358 595,679 1,787,038 893,519 2,680,558 1,340,279 4,020,838 2,010,419 6,031,258 3,015,629 9,046,888 4,523,444 2,261,722 1,130,861 3,392,584 1,696,292

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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