λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,445,852
56,445,852
22 × 3 × 71 × 97 × 683
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 71 × 97 × 683
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 135,136,512
Proper Divisor Sum 78,690,660
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #56445811 ← → #56445853

Radix Representation

Decimal 56445852
Binary 11010111010100101110011100 (26 bits)
Octal 0o327245634
Hexadecimal 0x35D4B9C

Divisor Catalog (48)

1 2 3 4 6 12 71 97 142 194 213 284 291 388 426 582 683 852 1,164 1,366 2,049 2,732 4,098 6,887 8,196 13,774 20,661 27,548 41,322 48,493 66,251 82,644 96,986 132,502 145,479 193,972 198,753 265,004 290,958 397,506 581,916 795,012 4,703,821 9,407,642 14,111,463 18,815,284 28,222,926 56,445,852

Collatz Trajectory (181 steps to reach 1)

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

56,445,852 28,222,926 14,111,463 42,334,390 21,167,195 63,501,586 31,750,793 95,252,380 47,626,190 23,813,095 71,439,286 35,719,643 107,158,930 53,579,465 160,738,396 80,369,198 40,184,599 120,553,798 60,276,899 180,830,698 90,415,349 271,246,048 135,623,024 67,811,512 33,905,756 16,952,878 8,476,439 25,429,318 12,714,659 38,143,978 19,071,989 57,215,968 28,607,984 14,303,992 7,151,996 3,575,998 1,787,999 5,363,998 2,681,999 8,045,998 4,022,999 12,068,998 6,034,499 18,103,498 9,051,749 27,155,248 13,577,624 6,788,812 3,394,406 1,697,203 5,091,610 2,545,805 7,637,416 3,818,708 1,909,354 954,677 2,864,032 1,432,016 716,008 358,004

Active Feeder Network

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

Feeder #1,448,561 Feeder #6,970,568 Feeder #2,947,453 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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