λ
Ratio Atlas
Atlas › Integer Profiles › Node 31,301,151
31,301,151
3 × 73 × 19 × 1601
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^3 × 19 × 1601
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 51,264,000
Proper Divisor Sum 19,962,849
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #31301147 ← → #31301167

Radix Representation

Decimal 31301151
Binary 1110111011001111000011111 (25 bits)
Octal 0o167317037
Hexadecimal 0x1DD9E1F

Divisor Catalog (32)

1 3 7 19 21 49 57 133 147 343 399 931 1,029 1,601 2,793 4,803 6,517 11,207 19,551 30,419 33,621 78,449 91,257 212,933 235,347 549,143 638,799 1,490,531 1,647,429 4,471,593 10,433,717 31,301,151

Collatz Trajectory (157 steps to reach 1)

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

31,301,151 93,903,454 46,951,727 140,855,182 70,427,591 211,282,774 105,641,387 316,924,162 158,462,081 475,386,244 237,693,122 118,846,561 356,539,684 178,269,842 89,134,921 267,404,764 133,702,382 66,851,191 200,553,574 100,276,787 300,830,362 150,415,181 451,245,544 225,622,772 112,811,386 56,405,693 169,217,080 84,608,540 42,304,270 21,152,135 63,456,406 31,728,203 95,184,610 47,592,305 142,776,916 71,388,458 35,694,229 107,082,688 53,541,344 26,770,672 13,385,336 6,692,668 3,346,334 1,673,167 5,019,502 2,509,751 7,529,254 3,764,627 11,293,882 5,646,941 16,940,824 8,470,412 4,235,206 2,117,603 6,352,810 3,176,405 9,529,216 4,764,608 2,382,304 1,191,152

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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