λ
Ratio Atlas
Atlas › Integer Profiles › Node 27,240,681
27,240,681
3 × 13 × 17 × 181 × 227
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13 × 17 × 181 × 227
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 41,827,968
Proper Divisor Sum 14,587,287
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #27240677 ← → #27240691

Radix Representation

Decimal 27240681
Binary 1100111111010100011101001 (25 bits)
Octal 0o147724351
Hexadecimal 0x19FA8E9

Divisor Catalog (32)

1 3 13 17 39 51 181 221 227 543 663 681 2,353 2,951 3,077 3,859 7,059 8,853 9,231 11,577 40,001 41,087 50,167 120,003 123,261 150,501 534,131 698,479 1,602,393 2,095,437 9,080,227 27,240,681

Collatz Trajectory (193 steps to reach 1)

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

27,240,681 81,722,044 40,861,022 20,430,511 61,291,534 30,645,767 91,937,302 45,968,651 137,905,954 68,952,977 206,858,932 103,429,466 51,714,733 155,144,200 77,572,100 38,786,050 19,393,025 58,179,076 29,089,538 14,544,769 43,634,308 21,817,154 10,908,577 32,725,732 16,362,866 8,181,433 24,544,300 12,272,150 6,136,075 18,408,226 9,204,113 27,612,340 13,806,170 6,903,085 20,709,256 10,354,628 5,177,314 2,588,657 7,765,972 3,882,986 1,941,493 5,824,480 2,912,240 1,456,120 728,060 364,030 182,015 546,046 273,023 819,070 409,535 1,228,606 614,303 1,842,910 921,455 2,764,366 1,382,183 4,146,550 2,073,275 6,219,826

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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