λ
Ratio Atlas
Atlas › Integer Profiles › Node 27,240,668
27,240,668
22 × 72 × 13 × 10691
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 7^2 × 13 × 10691
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 59,725,512
Proper Divisor Sum 32,484,844
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #27240601 ← → #27240673

Radix Representation

Decimal 27240668
Binary 1100111111010100011011100 (25 bits)
Octal 0o147724334
Hexadecimal 0x19FA8DC

Divisor Catalog (36)

1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1,274 2,548 10,691 21,382 42,764 74,837 138,983 149,674 277,966 299,348 523,859 555,932 972,881 1,047,718 1,945,762 2,095,436 3,891,524 6,810,167 13,620,334 27,240,668

Collatz Trajectory (193 steps to reach 1)

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

27,240,668 13,620,334 6,810,167 20,430,502 10,215,251 30,645,754 15,322,877 45,968,632 22,984,316 11,492,158 5,746,079 17,238,238 8,619,119 25,857,358 12,928,679 38,786,038 19,393,019 58,179,058 29,089,529 87,268,588 43,634,294 21,817,147 65,451,442 32,725,721 98,177,164 49,088,582 24,544,291 73,632,874 36,816,437 110,449,312 55,224,656 27,612,328 13,806,164 6,903,082 3,451,541 10,354,624 5,177,312 2,588,656 1,294,328 647,164 323,582 161,791 485,374 242,687 728,062 364,031 1,092,094 546,047 1,638,142 819,071 2,457,214 1,228,607 3,685,822 1,842,911 5,528,734 2,764,367 8,293,102 4,146,551 12,439,654 6,219,827

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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