λ
Ratio Atlas
Atlas › Integer Profiles › Node 26,877,940
26,877,940
22 × 5 × 239 × 5623
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 239 × 5623
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 56,689,920
Proper Divisor Sum 29,811,980
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #26877923 ← → #26877941

Radix Representation

Decimal 26877940
Binary 1100110100001111111110100 (25 bits)
Octal 0o146417764
Hexadecimal 0x19A1FF4

Divisor Catalog (24)

1 2 4 5 10 20 239 478 956 1,195 2,390 4,780 5,623 11,246 22,492 28,115 56,230 112,460 1,343,897 2,687,794 5,375,588 6,719,485 13,438,970 26,877,940

Collatz Trajectory (118 steps to reach 1)

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

26,877,940 13,438,970 6,719,485 20,158,456 10,079,228 5,039,614 2,519,807 7,559,422 3,779,711 11,339,134 5,669,567 17,008,702 8,504,351 25,513,054 12,756,527 38,269,582 19,134,791 57,404,374 28,702,187 86,106,562 43,053,281 129,159,844 64,579,922 32,289,961 96,869,884 48,434,942 24,217,471 72,652,414 36,326,207 108,978,622 54,489,311 163,467,934 81,733,967 245,201,902 122,600,951 367,802,854 183,901,427 551,704,282 275,852,141 827,556,424 413,778,212 206,889,106 103,444,553 310,333,660 155,166,830 77,583,415 232,750,246 116,375,123 349,125,370 174,562,685 523,688,056 261,844,028 130,922,014 65,461,007 196,383,022 98,191,511 294,574,534 147,287,267 441,861,802 220,930,901

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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