λ
Ratio Atlas
Atlas › Integer Profiles › Node 27,353,295
27,353,295
35 × 5 × 47 × 479
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^5 × 5 × 47 × 479
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 50,319,360
Proper Divisor Sum 22,966,065
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #27353267 ← → #27353299

Radix Representation

Decimal 27353295
Binary 1101000010110000011001111 (25 bits)
Octal 0o150260317
Hexadecimal 0x1A160CF

Divisor Catalog (48)

1 3 5 9 15 27 45 47 81 135 141 235 243 405 423 479 705 1,215 1,269 1,437 2,115 2,395 3,807 4,311 6,345 7,185 11,421 12,933 19,035 21,555 22,513 38,799 57,105 64,665 67,539 112,565 116,397 193,995 202,617 337,695 581,985 607,851 1,013,085 1,823,553 3,039,255 5,470,659 9,117,765 27,353,295

Collatz Trajectory (131 steps to reach 1)

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

27,353,295 82,059,886 41,029,943 123,089,830 61,544,915 184,634,746 92,317,373 276,952,120 138,476,060 69,238,030 34,619,015 103,857,046 51,928,523 155,785,570 77,892,785 233,678,356 116,839,178 58,419,589 175,258,768 87,629,384 43,814,692 21,907,346 10,953,673 32,861,020 16,430,510 8,215,255 24,645,766 12,322,883 36,968,650 18,484,325 55,452,976 27,726,488 13,863,244 6,931,622 3,465,811 10,397,434 5,198,717 15,596,152 7,798,076 3,899,038 1,949,519 5,848,558 2,924,279 8,772,838 4,386,419 13,159,258 6,579,629 19,738,888 9,869,444 4,934,722 2,467,361 7,402,084 3,701,042 1,850,521 5,551,564 2,775,782 1,387,891 4,163,674 2,081,837 6,245,512

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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