λ
Ratio Atlas
Atlas › Integer Profiles › Node 45,632,574
45,632,574
2 × 32 × 13 × 191 × 1021
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 191 × 1021
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 107,138,304
Proper Divisor Sum 61,505,730
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #45632569 ← → #45632579

Radix Representation

Decimal 45632574
Binary 10101110000100110000111110 (26 bits)
Octal 0o256046076
Hexadecimal 0x2B84C3E

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 78 117 191 234 382 573 1,021 1,146 1,719 2,042 2,483 3,063 3,438 4,966 6,126 7,449 9,189 13,273 14,898 18,378 22,347 26,546 39,819 44,694 79,638 119,457 195,011 238,914 390,022 585,033 1,170,066 1,755,099 2,535,143 3,510,198 5,070,286 7,605,429 15,210,858 22,816,287 45,632,574

Collatz Trajectory (248 steps to reach 1)

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

45,632,574 22,816,287 68,448,862 34,224,431 102,673,294 51,336,647 154,009,942 77,004,971 231,014,914 115,507,457 346,522,372 173,261,186 86,630,593 259,891,780 129,945,890 64,972,945 194,918,836 97,459,418 48,729,709 146,189,128 73,094,564 36,547,282 18,273,641 54,820,924 27,410,462 13,705,231 41,115,694 20,557,847 61,673,542 30,836,771 92,510,314 46,255,157 138,765,472 69,382,736 34,691,368 17,345,684 8,672,842 4,336,421 13,009,264 6,504,632 3,252,316 1,626,158 813,079 2,439,238 1,219,619 3,658,858 1,829,429 5,488,288 2,744,144 1,372,072 686,036 343,018 171,509 514,528 257,264 128,632 64,316 32,158 16,079 48,238

Active Feeder Network

Other feeder batches with open delivery windows. Each feeder keeps its own target batch.

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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