λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,436,726
8,436,726
2 × 32 × 17 × 79 × 349
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 17 × 79 × 349
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,656,000
Proper Divisor Sum 11,219,274
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8436713 ← → #8436731

Radix Representation

Decimal 8436726
Binary 100000001011101111110110 (24 bits)
Octal 0o40135766
Hexadecimal 0x80BBF6

Divisor Catalog (48)

1 2 3 6 9 17 18 34 51 79 102 153 158 237 306 349 474 698 711 1,047 1,343 1,422 2,094 2,686 3,141 4,029 5,933 6,282 8,058 11,866 12,087 17,799 24,174 27,571 35,598 53,397 55,142 82,713 106,794 165,426 248,139 468,707 496,278 937,414 1,406,121 2,812,242 4,218,363 8,436,726

Collatz Trajectory (274 steps to reach 1)

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

8,436,726 4,218,363 12,655,090 6,327,545 18,982,636 9,491,318 4,745,659 14,236,978 7,118,489 21,355,468 10,677,734 5,338,867 16,016,602 8,008,301 24,024,904 12,012,452 6,006,226 3,003,113 9,009,340 4,504,670 2,252,335 6,757,006 3,378,503 10,135,510 5,067,755 15,203,266 7,601,633 22,804,900 11,402,450 5,701,225 17,103,676 8,551,838 4,275,919 12,827,758 6,413,879 19,241,638 9,620,819 28,862,458 14,431,229 43,293,688 21,646,844 10,823,422 5,411,711 16,235,134 8,117,567 24,352,702 12,176,351 36,529,054 18,264,527 54,793,582 27,396,791 82,190,374 41,095,187 123,285,562 61,642,781 184,928,344 92,464,172 46,232,086 23,116,043 69,348,130

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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