λ
Ratio Atlas
Atlas › Integer Profiles › Node 17,520,146
17,520,146
2 × 72 × 31 × 73 × 79
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 31 × 73 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,394,240
Proper Divisor Sum 14,874,094
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #17520133 ← → #17520169

Radix Representation

Decimal 17520146
Binary 1000010110101011000010010 (25 bits)
Octal 0o102653022
Hexadecimal 0x10B5612

Divisor Catalog (48)

1 2 7 14 31 49 62 73 79 98 146 158 217 434 511 553 1,022 1,106 1,519 2,263 2,449 3,038 3,577 3,871 4,526 4,898 5,767 7,154 7,742 11,534 15,841 17,143 31,682 34,286 40,369 80,738 110,887 120,001 178,777 221,774 240,002 282,583 357,554 565,166 1,251,439 2,502,878 8,760,073 17,520,146

Collatz Trajectory (200 steps to reach 1)

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

17,520,146 8,760,073 26,280,220 13,140,110 6,570,055 19,710,166 9,855,083 29,565,250 14,782,625 44,347,876 22,173,938 11,086,969 33,260,908 16,630,454 8,315,227 24,945,682 12,472,841 37,418,524 18,709,262 9,354,631 28,063,894 14,031,947 42,095,842 21,047,921 63,143,764 31,571,882 15,785,941 47,357,824 23,678,912 11,839,456 5,919,728 2,959,864 1,479,932 739,966 369,983 1,109,950 554,975 1,664,926 832,463 2,497,390 1,248,695 3,746,086 1,873,043 5,619,130 2,809,565 8,428,696 4,214,348 2,107,174 1,053,587 3,160,762 1,580,381 4,741,144 2,370,572 1,185,286 592,643 1,777,930 888,965 2,666,896 1,333,448 666,724

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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