λ
Ratio Atlas
Atlas › Integer Profiles › Node 41,527,673
41,527,673
11 × 19 × 23 × 53 × 163
Deficient Odd Composite

Prime Factor Structure

Factorization String 11 × 19 × 23 × 53 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 51,010,560
Proper Divisor Sum 9,482,887
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #41527657 ← → #41527679

Radix Representation

Decimal 41527673
Binary 10011110011010100101111001 (26 bits)
Octal 0o236324571
Hexadecimal 0x279A979

Divisor Catalog (32)

1 11 19 23 53 163 209 253 437 583 1,007 1,219 1,793 3,097 3,749 4,807 8,639 11,077 13,409 23,161 34,067 41,239 71,231 95,029 164,141 198,697 254,771 783,541 1,805,551 2,185,667 3,775,243 41,527,673

Collatz Trajectory (328 steps to reach 1)

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

41,527,673 124,583,020 62,291,510 31,145,755 93,437,266 46,718,633 140,155,900 70,077,950 35,038,975 105,116,926 52,558,463 157,675,390 78,837,695 236,513,086 118,256,543 354,769,630 177,384,815 532,154,446 266,077,223 798,231,670 399,115,835 1,197,347,506 598,673,753 1,796,021,260 898,010,630 449,005,315 1,347,015,946 673,507,973 2,020,523,920 1,010,261,960 505,130,980 252,565,490 126,282,745 378,848,236 189,424,118 94,712,059 284,136,178 142,068,089 426,204,268 213,102,134 106,551,067 319,653,202 159,826,601 479,479,804 239,739,902 119,869,951 359,609,854 179,804,927 539,414,782 269,707,391 809,122,174 404,561,087 1,213,683,262 606,841,631 1,820,524,894 910,262,447 2,730,787,342 1,365,393,671 4,096,181,014 2,048,090,507

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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