λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,527,240
2,527,240
23 × 5 × 23 × 41 × 67
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 23 × 41 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 6,168,960
Proper Divisor Sum 3,641,720
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #2527223 ← → #2527249

Radix Representation

Decimal 2527240
Binary 1001101001000000001000 (22 bits)
Octal 0o11510010
Hexadecimal 0x269008

Divisor Catalog (60 of 64)

1 2 4 5 8 10 20 23 40 41 46 67 82 92 115 134 164 184 205 230 268 328 335 410 460 536 670 820 920 943 1,340 1,541 1,640 1,886 2,680 2,747 3,082 3,772 4,715 5,494 6,164 7,544 7,705 9,430 10,988 12,328 13,735 15,410 18,860 21,976 27,470 30,820 37,720 54,940 61,640 63,181 109,880 126,362 252,724 315,905

Collatz Trajectory (104 steps to reach 1)

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

2,527,240 1,263,620 631,810 315,905 947,716 473,858 236,929 710,788 355,394 177,697 533,092 266,546 133,273 399,820 199,910 99,955 299,866 149,933 449,800 224,900 112,450 56,225 168,676 84,338 42,169 126,508 63,254 31,627 94,882 47,441 142,324 71,162 35,581 106,744 53,372 26,686 13,343 40,030 20,015 60,046 30,023 90,070 45,035 135,106 67,553 202,660 101,330 50,665 151,996 75,998 37,999 113,998 56,999 170,998 85,499 256,498 128,249 384,748 192,374 96,187

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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