λ
Ratio Atlas
Atlas › Integer Profiles › Node 72,041,116
72,041,116
22 × 7 × 113 × 22769
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 113 × 22769
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 145,363,680
Proper Divisor Sum 73,322,564
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #72041093 ← → #72041119

Radix Representation

Decimal 72041116
Binary 100010010110100001010011100 (27 bits)
Octal 0o422641234
Hexadecimal 0x44B429C

Divisor Catalog (24)

1 2 4 7 14 28 113 226 452 791 1,582 3,164 22,769 45,538 91,076 159,383 318,766 637,532 2,572,897 5,145,794 10,291,588 18,010,279 36,020,558 72,041,116

Collatz Trajectory (290 steps to reach 1)

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

72,041,116 36,020,558 18,010,279 54,030,838 27,015,419 81,046,258 40,523,129 121,569,388 60,784,694 30,392,347 91,177,042 45,588,521 136,765,564 68,382,782 34,191,391 102,574,174 51,287,087 153,861,262 76,930,631 230,791,894 115,395,947 346,187,842 173,093,921 519,281,764 259,640,882 129,820,441 389,461,324 194,730,662 97,365,331 292,095,994 146,047,997 438,143,992 219,071,996 109,535,998 54,767,999 164,303,998 82,151,999 246,455,998 123,227,999 369,683,998 184,841,999 554,525,998 277,262,999 831,788,998 415,894,499 1,247,683,498 623,841,749 1,871,525,248 935,762,624 467,881,312 233,940,656 116,970,328 58,485,164 29,242,582 14,621,291 43,863,874 21,931,937 65,795,812 32,897,906 16,448,953

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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