λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,044,063
72,044,063
73 × 13 × 107 × 151
Deficient Odd Composite

Prime Factor Structure

Factorization String 7^3 × 13 × 107 × 151
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 91,929,600
Proper Divisor Sum 19,885,537
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #72044059 ← → #72044081

Radix Representation

Decimal 72044063
Binary 100010010110100111000011111 (27 bits)
Octal 0o422647037
Hexadecimal 0x44B4E1F

Divisor Catalog (32)

1 7 13 49 91 107 151 343 637 749 1,057 1,391 1,963 4,459 5,243 7,399 9,737 13,741 16,157 36,701 51,793 68,159 96,187 113,099 210,041 477,113 673,309 791,693 1,470,287 5,541,851 10,292,009 72,044,063

Collatz Trajectory (202 steps to reach 1)

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

72,044,063 216,132,190 108,066,095 324,198,286 162,099,143 486,297,430 243,148,715 729,446,146 364,723,073 1,094,169,220 547,084,610 273,542,305 820,626,916 410,313,458 205,156,729 615,470,188 307,735,094 153,867,547 461,602,642 230,801,321 692,403,964 346,201,982 173,100,991 519,302,974 259,651,487 778,954,462 389,477,231 1,168,431,694 584,215,847 1,752,647,542 876,323,771 2,628,971,314 1,314,485,657 3,943,456,972 1,971,728,486 985,864,243 2,957,592,730 1,478,796,365 4,436,389,096 2,218,194,548 1,109,097,274 554,548,637 1,663,645,912 831,822,956 415,911,478 207,955,739 623,867,218 311,933,609 935,800,828 467,900,414 233,950,207 701,850,622 350,925,311 1,052,775,934 526,387,967 1,579,163,902 789,581,951 2,368,745,854 1,184,372,927 3,553,118,782

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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