λ
Ratio Atlas
Atlas › Integer Profiles › Node 56,757,156
56,757,156
22 × 3 × 31 × 271 × 563
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 271 × 563
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 137,453,568
Proper Divisor Sum 80,696,412
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #56757137 ← → #56757157

Radix Representation

Decimal 56757156
Binary 11011000100000101110100100 (26 bits)
Octal 0o330405644
Hexadecimal 0x3620BA4

Divisor Catalog (48)

1 2 3 4 6 12 31 62 93 124 186 271 372 542 563 813 1,084 1,126 1,626 1,689 2,252 3,252 3,378 6,756 8,401 16,802 17,453 25,203 33,604 34,906 50,406 52,359 69,812 100,812 104,718 152,573 209,436 305,146 457,719 610,292 915,438 1,830,876 4,729,763 9,459,526 14,189,289 18,919,052 28,378,578 56,757,156

Collatz Trajectory (269 steps to reach 1)

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

56,757,156 28,378,578 14,189,289 42,567,868 21,283,934 10,641,967 31,925,902 15,962,951 47,888,854 23,944,427 71,833,282 35,916,641 107,749,924 53,874,962 26,937,481 80,812,444 40,406,222 20,203,111 60,609,334 30,304,667 90,914,002 45,457,001 136,371,004 68,185,502 34,092,751 102,278,254 51,139,127 153,417,382 76,708,691 230,126,074 115,063,037 345,189,112 172,594,556 86,297,278 43,148,639 129,445,918 64,722,959 194,168,878 97,084,439 291,253,318 145,626,659 436,879,978 218,439,989 655,319,968 327,659,984 163,829,992 81,914,996 40,957,498 20,478,749 61,436,248 30,718,124 15,359,062 7,679,531 23,038,594 11,519,297 34,557,892 17,278,946 8,639,473 25,918,420 12,959,210

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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