λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,707,005
9,707,005
5 × 7 × 11 × 19 × 1327
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 7 × 11 × 19 × 1327
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,298,560
Proper Divisor Sum 5,591,555
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9706993 ← → #9707023

Radix Representation

Decimal 9707005
Binary 100101000001110111111101 (24 bits)
Octal 0o45016775
Hexadecimal 0x941DFD

Divisor Catalog (32)

1 5 7 11 19 35 55 77 95 133 209 385 665 1,045 1,327 1,463 6,635 7,315 9,289 14,597 25,213 46,445 72,985 102,179 126,065 176,491 277,343 510,895 882,455 1,386,715 1,941,401 9,707,005

Collatz Trajectory (251 steps to reach 1)

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

9,707,005 29,121,016 14,560,508 7,280,254 3,640,127 10,920,382 5,460,191 16,380,574 8,190,287 24,570,862 12,285,431 36,856,294 18,428,147 55,284,442 27,642,221 82,926,664 41,463,332 20,731,666 10,365,833 31,097,500 15,548,750 7,774,375 23,323,126 11,661,563 34,984,690 17,492,345 52,477,036 26,238,518 13,119,259 39,357,778 19,678,889 59,036,668 29,518,334 14,759,167 44,277,502 22,138,751 66,416,254 33,208,127 99,624,382 49,812,191 149,436,574 74,718,287 224,154,862 112,077,431 336,232,294 168,116,147 504,348,442 252,174,221 756,522,664 378,261,332 189,130,666 94,565,333 283,696,000 141,848,000 70,924,000 35,462,000 17,731,000 8,865,500 4,432,750 2,216,375

Active Feeder Network

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

Feeder #7,737,779 Feeder #685,881 Feeder #2,871,188 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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