λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,726,414
9,726,414
2 × 3 × 17 × 167 × 571
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 17 × 167 × 571
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,756,736
Proper Divisor Sum 11,030,322
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9726413 ← → #9726419

Radix Representation

Decimal 9726414
Binary 100101000110100111001110 (24 bits)
Octal 0o45064716
Hexadecimal 0x9469CE

Divisor Catalog (32)

1 2 3 6 17 34 51 102 167 334 501 571 1,002 1,142 1,713 2,839 3,426 5,678 8,517 9,707 17,034 19,414 29,121 58,242 95,357 190,714 286,071 572,142 1,621,069 3,242,138 4,863,207 9,726,414

Collatz Trajectory (176 steps to reach 1)

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

9,726,414 4,863,207 14,589,622 7,294,811 21,884,434 10,942,217 32,826,652 16,413,326 8,206,663 24,619,990 12,309,995 36,929,986 18,464,993 55,394,980 27,697,490 13,848,745 41,546,236 20,773,118 10,386,559 31,159,678 15,579,839 46,739,518 23,369,759 70,109,278 35,054,639 105,163,918 52,581,959 157,745,878 78,872,939 236,618,818 118,309,409 354,928,228 177,464,114 88,732,057 266,196,172 133,098,086 66,549,043 199,647,130 99,823,565 299,470,696 149,735,348 74,867,674 37,433,837 112,301,512 56,150,756 28,075,378 14,037,689 42,113,068 21,056,534 10,528,267 31,584,802 15,792,401 47,377,204 23,688,602 11,844,301 35,532,904 17,766,452 8,883,226 4,441,613 13,324,840

Active Feeder Network

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

Feeder #906,051 Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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