λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,923,323
47,923,323
3 × 72 × 17 × 127 × 151
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 17 × 127 × 151
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 79,847,424
Proper Divisor Sum 31,924,101
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #47923319 ← → #47923327

Radix Representation

Decimal 47923323
Binary 10110110110100000001111011 (26 bits)
Octal 0o266640173
Hexadecimal 0x2DB407B

Divisor Catalog (48)

1 3 7 17 21 49 51 119 127 147 151 357 381 453 833 889 1,057 2,159 2,499 2,567 2,667 3,171 6,223 6,477 7,399 7,701 15,113 17,969 18,669 19,177 22,197 45,339 53,907 57,531 105,791 125,783 134,239 317,373 326,009 377,349 402,717 939,673 978,027 2,282,063 2,819,019 6,846,189 15,974,441 47,923,323

Collatz Trajectory (230 steps to reach 1)

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

47,923,323 143,769,970 71,884,985 215,654,956 107,827,478 53,913,739 161,741,218 80,870,609 242,611,828 121,305,914 60,652,957 181,958,872 90,979,436 45,489,718 22,744,859 68,234,578 34,117,289 102,351,868 51,175,934 25,587,967 76,763,902 38,381,951 115,145,854 57,572,927 172,718,782 86,359,391 259,078,174 129,539,087 388,617,262 194,308,631 582,925,894 291,462,947 874,388,842 437,194,421 1,311,583,264 655,791,632 327,895,816 163,947,908 81,973,954 40,986,977 122,960,932 61,480,466 30,740,233 92,220,700 46,110,350 23,055,175 69,165,526 34,582,763 103,748,290 51,874,145 155,622,436 77,811,218 38,905,609 116,716,828 58,358,414 29,179,207 87,537,622 43,768,811 131,306,434 65,653,217

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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