λ
Ratio Atlas
Atlas › Integer Profiles › Node 27,642,220
27,642,220
22 × 5 × 29 × 47659
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 47659
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 60,051,600
Proper Divisor Sum 32,409,380
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #27642193 ← → #27642227

Radix Representation

Decimal 27642220
Binary 1101001011100100101101100 (25 bits)
Octal 0o151344554
Hexadecimal 0x1A5C96C

Divisor Catalog (24)

1 2 4 5 10 20 29 58 116 145 290 580 47,659 95,318 190,636 238,295 476,590 953,180 1,382,111 2,764,222 5,528,444 6,910,555 13,821,110 27,642,220

Collatz Trajectory (237 steps to reach 1)

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

27,642,220 13,821,110 6,910,555 20,731,666 10,365,833 31,097,500 15,548,750 7,774,375 23,323,126 11,661,563 34,984,690 17,492,345 52,477,036 26,238,518 13,119,259 39,357,778 19,678,889 59,036,668 29,518,334 14,759,167 44,277,502 22,138,751 66,416,254 33,208,127 99,624,382 49,812,191 149,436,574 74,718,287 224,154,862 112,077,431 336,232,294 168,116,147 504,348,442 252,174,221 756,522,664 378,261,332 189,130,666 94,565,333 283,696,000 141,848,000 70,924,000 35,462,000 17,731,000 8,865,500 4,432,750 2,216,375 6,649,126 3,324,563 9,973,690 4,986,845 14,960,536 7,480,268 3,740,134 1,870,067 5,610,202 2,805,101 8,415,304 4,207,652 2,103,826 1,051,913

Active Feeder Network

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

Feeder #6,449,649 Feeder #6,177,699 Feeder #4,494,486 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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