λ
Ratio Atlas
Atlas › Integer Profiles › Node 46,908,050
46,908,050
2 × 52 × 7 × 223 × 601
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 223 × 601
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 100,326,912
Proper Divisor Sum 53,418,862
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #46908047 ← → #46908061

Radix Representation

Decimal 46908050
Binary 10110010111100001010010010 (26 bits)
Octal 0o262741222
Hexadecimal 0x2CBC292

Divisor Catalog (48)

1 2 5 7 10 14 25 35 50 70 175 223 350 446 601 1,115 1,202 1,561 2,230 3,005 3,122 4,207 5,575 6,010 7,805 8,414 11,150 15,025 15,610 21,035 30,050 39,025 42,070 78,050 105,175 134,023 210,350 268,046 670,115 938,161 1,340,230 1,876,322 3,350,575 4,690,805 6,701,150 9,381,610 23,454,025 46,908,050

Collatz Trajectory (248 steps to reach 1)

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

46,908,050 23,454,025 70,362,076 35,181,038 17,590,519 52,771,558 26,385,779 79,157,338 39,578,669 118,736,008 59,368,004 29,684,002 14,842,001 44,526,004 22,263,002 11,131,501 33,394,504 16,697,252 8,348,626 4,174,313 12,522,940 6,261,470 3,130,735 9,392,206 4,696,103 14,088,310 7,044,155 21,132,466 10,566,233 31,698,700 15,849,350 7,924,675 23,774,026 11,887,013 35,661,040 17,830,520 8,915,260 4,457,630 2,228,815 6,686,446 3,343,223 10,029,670 5,014,835 15,044,506 7,522,253 22,566,760 11,283,380 5,641,690 2,820,845 8,462,536 4,231,268 2,115,634 1,057,817 3,173,452 1,586,726 793,363 2,380,090 1,190,045 3,570,136 1,785,068

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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