λ
Ratio Atlas
Atlas › Integer Profiles › Node 59,242,510
59,242,510
2 × 5 × 103 × 113 × 509
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 103 × 113 × 509
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 108,838,080
Proper Divisor Sum 49,595,570
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #59242483 ← → #59242511

Radix Representation

Decimal 59242510
Binary 11100001111111100000001110 (26 bits)
Octal 0o341774016
Hexadecimal 0x387F80E

Divisor Catalog (32)

1 2 5 10 103 113 206 226 509 515 565 1,018 1,030 1,130 2,545 5,090 11,639 23,278 52,427 57,517 58,195 104,854 115,034 116,390 262,135 287,585 524,270 575,170 5,924,251 11,848,502 29,621,255 59,242,510

Collatz Trajectory (220 steps to reach 1)

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

59,242,510 29,621,255 88,863,766 44,431,883 133,295,650 66,647,825 199,943,476 99,971,738 49,985,869 149,957,608 74,978,804 37,489,402 18,744,701 56,234,104 28,117,052 14,058,526 7,029,263 21,087,790 10,543,895 31,631,686 15,815,843 47,447,530 23,723,765 71,171,296 35,585,648 17,792,824 8,896,412 4,448,206 2,224,103 6,672,310 3,336,155 10,008,466 5,004,233 15,012,700 7,506,350 3,753,175 11,259,526 5,629,763 16,889,290 8,444,645 25,333,936 12,666,968 6,333,484 3,166,742 1,583,371 4,750,114 2,375,057 7,125,172 3,562,586 1,781,293 5,343,880 2,671,940 1,335,970 667,985 2,003,956 1,001,978 500,989 1,502,968 751,484 375,742

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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