λ
Ratio Atlas
Atlas › Integer Profiles › Node 73,199,875
73,199,875
53 × 72 × 17 × 19 × 37
Deficient Odd Composite

Prime Factor Structure

Factorization String 5^3 × 7^2 × 17 × 19 × 37
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 121,642,560
Proper Divisor Sum 48,442,685
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #73199873 ← → #73199887

Radix Representation

Decimal 73199875
Binary 100010111001111000100000011 (27 bits)
Octal 0o427170403
Hexadecimal 0x45CF103

Divisor Catalog (60 of 96)

1 5 7 17 19 25 35 37 49 85 95 119 125 133 175 185 245 259 323 425 475 595 629 665 703 833 875 925 931 1,225 1,295 1,615 1,813 2,125 2,261 2,375 2,975 3,145 3,325 3,515 4,165 4,403 4,625 4,655 4,921 6,125 6,475 8,075 9,065 11,305 11,951 14,875 15,725 15,827 16,625 17,575 20,825 22,015 23,275 24,605

Collatz Trajectory (171 steps to reach 1)

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

73,199,875 219,599,626 109,799,813 329,399,440 164,699,720 82,349,860 41,174,930 20,587,465 61,762,396 30,881,198 15,440,599 46,321,798 23,160,899 69,482,698 34,741,349 104,224,048 52,112,024 26,056,012 13,028,006 6,514,003 19,542,010 9,771,005 29,313,016 14,656,508 7,328,254 3,664,127 10,992,382 5,496,191 16,488,574 8,244,287 24,732,862 12,366,431 37,099,294 18,549,647 55,648,942 27,824,471 83,473,414 41,736,707 125,210,122 62,605,061 187,815,184 93,907,592 46,953,796 23,476,898 11,738,449 35,215,348 17,607,674 8,803,837 26,411,512 13,205,756 6,602,878 3,301,439 9,904,318 4,952,159 14,856,478 7,428,239 22,284,718 11,142,359 33,427,078 16,713,539

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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