λ
Ratio Atlas
Atlas › Integer Profiles › Node 40,040,095
40,040,095
5 × 432 × 61 × 71
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 43^2 × 61 × 71
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 50,702,112
Proper Divisor Sum 10,662,017
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #40040093 ← → #40040111

Radix Representation

Decimal 40040095
Binary 10011000101111011010011111 (26 bits)
Octal 0o230573237
Hexadecimal 0x262F69F

Divisor Catalog (24)

1 5 43 61 71 215 305 355 1,849 2,623 3,053 4,331 9,245 13,115 15,265 21,655 112,789 131,279 186,233 563,945 656,395 931,165 8,008,019 40,040,095

Collatz Trajectory (240 steps to reach 1)

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

40,040,095 120,120,286 60,060,143 180,180,430 90,090,215 270,270,646 135,135,323 405,405,970 202,702,985 608,108,956 304,054,478 152,027,239 456,081,718 228,040,859 684,122,578 342,061,289 1,026,183,868 513,091,934 256,545,967 769,637,902 384,818,951 1,154,456,854 577,228,427 1,731,685,282 865,842,641 2,597,527,924 1,298,763,962 649,381,981 1,948,145,944 974,072,972 487,036,486 243,518,243 730,554,730 365,277,365 1,095,832,096 547,916,048 273,958,024 136,979,012 68,489,506 34,244,753 102,734,260 51,367,130 25,683,565 77,050,696 38,525,348 19,262,674 9,631,337 28,894,012 14,447,006 7,223,503 21,670,510 10,835,255 32,505,766 16,252,883 48,758,650 24,379,325 73,137,976 36,568,988 18,284,494 9,142,247

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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