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Ratio Atlas
Atlas › Integer Profiles › Node 4,457,151
4,457,151
32 × 41 × 47 × 257
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 41 × 47 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,761,664
Proper Divisor Sum 2,304,513
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4457143 ← → #4457171

Radix Representation

Decimal 4457151
Binary 10001000000001010111111 (23 bits)
Octal 0o21001277
Hexadecimal 0x4402BF

Divisor Catalog (24)

1 3 9 41 47 123 141 257 369 423 771 1,927 2,313 5,781 10,537 12,079 17,343 31,611 36,237 94,833 108,711 495,239 1,485,717 4,457,151

Collatz Trajectory (224 steps to reach 1)

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

4,457,151 13,371,454 6,685,727 20,057,182 10,028,591 30,085,774 15,042,887 45,128,662 22,564,331 67,692,994 33,846,497 101,539,492 50,769,746 25,384,873 76,154,620 38,077,310 19,038,655 57,115,966 28,557,983 85,673,950 42,836,975 128,510,926 64,255,463 192,766,390 96,383,195 289,149,586 144,574,793 433,724,380 216,862,190 108,431,095 325,293,286 162,646,643 487,939,930 243,969,965 731,909,896 365,954,948 182,977,474 91,488,737 274,466,212 137,233,106 68,616,553 205,849,660 102,924,830 51,462,415 154,387,246 77,193,623 231,580,870 115,790,435 347,371,306 173,685,653 521,056,960 260,528,480 130,264,240 65,132,120 32,566,060 16,283,030 8,141,515 24,424,546 12,212,273 36,636,820

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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