λ
Ratio Atlas
Atlas › Integer Profiles › Node 10,240,146
10,240,146
2 × 32 × 7 × 67 × 1213
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 67 × 1213
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,756,224
Proper Divisor Sum 15,516,078
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #10240141 ← → #10240159

Radix Representation

Decimal 10240146
Binary 100111000100000010010010 (24 bits)
Octal 0o47040222
Hexadecimal 0x9C4092

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 42 63 67 126 134 201 402 469 603 938 1,206 1,213 1,407 2,426 2,814 3,639 4,221 7,278 8,442 8,491 10,917 16,982 21,834 25,473 50,946 76,419 81,271 152,838 162,542 243,813 487,626 568,897 731,439 1,137,794 1,462,878 1,706,691 3,413,382 5,120,073 10,240,146

Collatz Trajectory (207 steps to reach 1)

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

10,240,146 5,120,073 15,360,220 7,680,110 3,840,055 11,520,166 5,760,083 17,280,250 8,640,125 25,920,376 12,960,188 6,480,094 3,240,047 9,720,142 4,860,071 14,580,214 7,290,107 21,870,322 10,935,161 32,805,484 16,402,742 8,201,371 24,604,114 12,302,057 36,906,172 18,453,086 9,226,543 27,679,630 13,839,815 41,519,446 20,759,723 62,279,170 31,139,585 93,418,756 46,709,378 23,354,689 70,064,068 35,032,034 17,516,017 52,548,052 26,274,026 13,137,013 39,411,040 19,705,520 9,852,760 4,926,380 2,463,190 1,231,595 3,694,786 1,847,393 5,542,180 2,771,090 1,385,545 4,156,636 2,078,318 1,039,159 3,117,478 1,558,739 4,676,218 2,338,109

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 #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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