λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,012,822
2,012,822
2 × 72 × 19 × 23 × 47
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 19 × 23 × 47
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 3,939,840
Proper Divisor Sum 1,927,018
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #2012821 ← → #2012827

Radix Representation

Decimal 2012822
Binary 111101011011010010110 (21 bits)
Octal 0o7533226
Hexadecimal 0x1EB696

Divisor Catalog (48)

1 2 7 14 19 23 38 46 47 49 94 98 133 161 266 322 329 437 658 874 893 931 1,081 1,127 1,786 1,862 2,162 2,254 2,303 3,059 4,606 6,118 6,251 7,567 12,502 15,134 20,539 21,413 41,078 42,826 43,757 52,969 87,514 105,938 143,773 287,546 1,006,411 2,012,822

Collatz Trajectory (91 steps to reach 1)

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

2,012,822 1,006,411 3,019,234 1,509,617 4,528,852 2,264,426 1,132,213 3,396,640 1,698,320 849,160 424,580 212,290 106,145 318,436 159,218 79,609 238,828 119,414 59,707 179,122 89,561 268,684 134,342 67,171 201,514 100,757 302,272 151,136 75,568 37,784 18,892 9,446 4,723 14,170 7,085 21,256 10,628 5,314 2,657 7,972 3,986 1,993 5,980 2,990 1,495 4,486 2,243 6,730 3,365 10,096 5,048 2,524 1,262 631 1,894 947 2,842 1,421 4,264 2,132

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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