λ
Ratio Atlas
Atlas › Integer Profiles › Node 61,500,972
61,500,972
22 × 3 × 13 × 263 × 1499
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 13 × 263 × 1499
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 155,232,000
Proper Divisor Sum 93,731,028
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #61500913 ← → #61500973

Radix Representation

Decimal 61500972
Binary 11101010100110111000101100 (26 bits)
Octal 0o352467054
Hexadecimal 0x3AA6E2C

Divisor Catalog (48)

1 2 3 4 6 12 13 26 39 52 78 156 263 526 789 1,052 1,499 1,578 2,998 3,156 3,419 4,497 5,996 6,838 8,994 10,257 13,676 17,988 19,487 20,514 38,974 41,028 58,461 77,948 116,922 233,844 394,237 788,474 1,182,711 1,576,948 2,365,422 4,730,844 5,125,081 10,250,162 15,375,243 20,500,324 30,750,486 61,500,972

Collatz Trajectory (145 steps to reach 1)

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

61,500,972 30,750,486 15,375,243 46,125,730 23,062,865 69,188,596 34,594,298 17,297,149 51,891,448 25,945,724 12,972,862 6,486,431 19,459,294 9,729,647 29,188,942 14,594,471 43,783,414 21,891,707 65,675,122 32,837,561 98,512,684 49,256,342 24,628,171 73,884,514 36,942,257 110,826,772 55,413,386 27,706,693 83,120,080 41,560,040 20,780,020 10,390,010 5,195,005 15,585,016 7,792,508 3,896,254 1,948,127 5,844,382 2,922,191 8,766,574 4,383,287 13,149,862 6,574,931 19,724,794 9,862,397 29,587,192 14,793,596 7,396,798 3,698,399 11,095,198 5,547,599 16,642,798 8,321,399 24,964,198 12,482,099 37,446,298 18,723,149 56,169,448 28,084,724 14,042,362

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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