λ
Ratio Atlas
Atlas › Integer Profiles › Node 44,976,201
44,976,201
3 × 23 × 37 × 79 × 223
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 23 × 37 × 79 × 223
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 65,372,160
Proper Divisor Sum 20,395,959
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #44976199 ← → #44976241

Radix Representation

Decimal 44976201
Binary 10101011100100100001001001 (26 bits)
Octal 0o253444111
Hexadecimal 0x2AE4849

Divisor Catalog (32)

1 3 23 37 69 79 111 223 237 669 851 1,817 2,553 2,923 5,129 5,451 8,251 8,769 15,387 17,617 24,753 52,851 67,229 189,773 201,687 405,191 569,319 651,829 1,215,573 1,955,487 14,992,067 44,976,201

Collatz Trajectory (323 steps to reach 1)

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

44,976,201 134,928,604 67,464,302 33,732,151 101,196,454 50,598,227 151,794,682 75,897,341 227,692,024 113,846,012 56,923,006 28,461,503 85,384,510 42,692,255 128,076,766 64,038,383 192,115,150 96,057,575 288,172,726 144,086,363 432,259,090 216,129,545 648,388,636 324,194,318 162,097,159 486,291,478 243,145,739 729,437,218 364,718,609 1,094,155,828 547,077,914 273,538,957 820,616,872 410,308,436 205,154,218 102,577,109 307,731,328 153,865,664 76,932,832 38,466,416 19,233,208 9,616,604 4,808,302 2,404,151 7,212,454 3,606,227 10,818,682 5,409,341 16,228,024 8,114,012 4,057,006 2,028,503 6,085,510 3,042,755 9,128,266 4,564,133 13,692,400 6,846,200 3,423,100 1,711,550

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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