λ
Ratio Atlas
Atlas › Integer Profiles › Node 27,313,636
27,313,636
22 × 7 × 127 × 7681
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7 × 127 × 7681
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 55,064,576
Proper Divisor Sum 27,750,940
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #27313633 ← → #27313661

Radix Representation

Decimal 27313636
Binary 1101000001100010111100100 (25 bits)
Octal 0o150142744
Hexadecimal 0x1A0C5E4

Divisor Catalog (24)

1 2 4 7 14 28 127 254 508 889 1,778 3,556 7,681 15,362 30,724 53,767 107,534 215,068 975,487 1,950,974 3,901,948 6,828,409 13,656,818 27,313,636

Collatz Trajectory (149 steps to reach 1)

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

27,313,636 13,656,818 6,828,409 20,485,228 10,242,614 5,121,307 15,363,922 7,681,961 23,045,884 11,522,942 5,761,471 17,284,414 8,642,207 25,926,622 12,963,311 38,889,934 19,444,967 58,334,902 29,167,451 87,502,354 43,751,177 131,253,532 65,626,766 32,813,383 98,440,150 49,220,075 147,660,226 73,830,113 221,490,340 110,745,170 55,372,585 166,117,756 83,058,878 41,529,439 124,588,318 62,294,159 186,882,478 93,441,239 280,323,718 140,161,859 420,485,578 210,242,789 630,728,368 315,364,184 157,682,092 78,841,046 39,420,523 118,261,570 59,130,785 177,392,356 88,696,178 44,348,089 133,044,268 66,522,134 33,261,067 99,783,202 49,891,601 149,674,804 74,837,402 37,418,701

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 #6,970,568 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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