λ
Ratio Atlas
Atlas › Integer Profiles › Node 54,079,311
54,079,311
3 × 11 × 13 × 37 × 3407
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 11 × 13 × 37 × 3407
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 87,026,688
Proper Divisor Sum 32,947,377
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #54079297 ← → #54079313

Radix Representation

Decimal 54079311
Binary 11001110010010111101001111 (26 bits)
Octal 0o316227517
Hexadecimal 0x3392F4F

Divisor Catalog (32)

1 3 11 13 33 37 39 111 143 407 429 481 1,221 1,443 3,407 5,291 10,221 15,873 37,477 44,291 112,431 126,059 132,873 378,177 487,201 1,386,649 1,461,603 1,638,767 4,159,947 4,916,301 18,026,437 54,079,311

Collatz Trajectory (194 steps to reach 1)

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

54,079,311 162,237,934 81,118,967 243,356,902 121,678,451 365,035,354 182,517,677 547,553,032 273,776,516 136,888,258 68,444,129 205,332,388 102,666,194 51,333,097 153,999,292 76,999,646 38,499,823 115,499,470 57,749,735 173,249,206 86,624,603 259,873,810 129,936,905 389,810,716 194,905,358 97,452,679 292,358,038 146,179,019 438,537,058 219,268,529 657,805,588 328,902,794 164,451,397 493,354,192 246,677,096 123,338,548 61,669,274 30,834,637 92,503,912 46,251,956 23,125,978 11,562,989 34,688,968 17,344,484 8,672,242 4,336,121 13,008,364 6,504,182 3,252,091 9,756,274 4,878,137 14,634,412 7,317,206 3,658,603 10,975,810 5,487,905 16,463,716 8,231,858 4,115,929 12,347,788

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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