λ
Ratio Atlas
Atlas › Integer Profiles › Node 78,289,828
78,289,828
22 × 17 × 41 × 28081
Deficient Even Composite

Prime Factor Structure

Factorization String 2^2 × 17 × 41 × 28081
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 148,609,944
Proper Divisor Sum 70,320,116
Digit Sum / Digital Root 52 (Root: 7)
Adjacent Primes #78289789 ← → #78289831

Radix Representation

Decimal 78289828
Binary 100101010101001101110100100 (27 bits)
Octal 0o452515644
Hexadecimal 0x4AA9BA4

Divisor Catalog (24)

1 2 4 17 34 41 68 82 164 697 1,394 2,788 28,081 56,162 112,324 477,377 954,754 1,151,321 1,909,508 2,302,642 4,605,284 19,572,457 39,144,914 78,289,828

Collatz Trajectory (272 steps to reach 1)

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

78,289,828 39,144,914 19,572,457 58,717,372 29,358,686 14,679,343 44,038,030 22,019,015 66,057,046 33,028,523 99,085,570 49,542,785 148,628,356 74,314,178 37,157,089 111,471,268 55,735,634 27,867,817 83,603,452 41,801,726 20,900,863 62,702,590 31,351,295 94,053,886 47,026,943 141,080,830 70,540,415 211,621,246 105,810,623 317,431,870 158,715,935 476,147,806 238,073,903 714,221,710 357,110,855 1,071,332,566 535,666,283 1,606,998,850 803,499,425 2,410,498,276 1,205,249,138 602,624,569 1,807,873,708 903,936,854 451,968,427 1,355,905,282 677,952,641 2,033,857,924 1,016,928,962 508,464,481 1,525,393,444 762,696,722 381,348,361 1,144,045,084 572,022,542 286,011,271 858,033,814 429,016,907 1,287,050,722 643,525,361

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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