λ
Ratio Atlas
Atlas › Integer Profiles › Node 27,353,151
27,353,151
32 × 7 × 509 × 853
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 509 × 853
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 45,296,160
Proper Divisor Sum 17,943,009
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #27353149 ← → #27353213

Radix Representation

Decimal 27353151
Binary 1101000010110000000111111 (25 bits)
Octal 0o150260077
Hexadecimal 0x1A1603F

Divisor Catalog (24)

1 3 7 9 21 63 509 853 1,527 2,559 3,563 4,581 5,971 7,677 10,689 17,913 32,067 53,739 434,177 1,302,531 3,039,239 3,907,593 9,117,717 27,353,151

Collatz Trajectory (193 steps to reach 1)

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

27,353,151 82,059,454 41,029,727 123,089,182 61,544,591 184,633,774 92,316,887 276,950,662 138,475,331 415,425,994 207,712,997 623,138,992 311,569,496 155,784,748 77,892,374 38,946,187 116,838,562 58,419,281 175,257,844 87,628,922 43,814,461 131,443,384 65,721,692 32,860,846 16,430,423 49,291,270 24,645,635 73,936,906 36,968,453 110,905,360 55,452,680 27,726,340 13,863,170 6,931,585 20,794,756 10,397,378 5,198,689 15,596,068 7,798,034 3,899,017 11,697,052 5,848,526 2,924,263 8,772,790 4,386,395 13,159,186 6,579,593 19,738,780 9,869,390 4,934,695 14,804,086 7,402,043 22,206,130 11,103,065 33,309,196 16,654,598 8,327,299 24,981,898 12,490,949 37,472,848

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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