λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,442,151
4,442,151
3 × 7 × 17 × 23 × 541
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 17 × 23 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,492,608
Proper Divisor Sum 3,050,457
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4442131 ← → #4442159

Radix Representation

Decimal 4442151
Binary 10000111100100000100111 (23 bits)
Octal 0o20744047
Hexadecimal 0x43C827

Divisor Catalog (32)

1 3 7 17 21 23 51 69 119 161 357 391 483 541 1,173 1,623 2,737 3,787 8,211 9,197 11,361 12,443 27,591 37,329 64,379 87,101 193,137 211,531 261,303 634,593 1,480,717 4,442,151

Collatz Trajectory (180 steps to reach 1)

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

4,442,151 13,326,454 6,663,227 19,989,682 9,994,841 29,984,524 14,992,262 7,496,131 22,488,394 11,244,197 33,732,592 16,866,296 8,433,148 4,216,574 2,108,287 6,324,862 3,162,431 9,487,294 4,743,647 14,230,942 7,115,471 21,346,414 10,673,207 32,019,622 16,009,811 48,029,434 24,014,717 72,044,152 36,022,076 18,011,038 9,005,519 27,016,558 13,508,279 40,524,838 20,262,419 60,787,258 30,393,629 91,180,888 45,590,444 22,795,222 11,397,611 34,192,834 17,096,417 51,289,252 25,644,626 12,822,313 38,466,940 19,233,470 9,616,735 28,850,206 14,425,103 43,275,310 21,637,655 64,912,966 32,456,483 97,369,450 48,684,725 146,054,176 73,027,088 36,513,544

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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