λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,707,004
9,707,004
22 × 32 × 47 × 5737
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 47 × 5737
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 25,063,584
Proper Divisor Sum 15,356,580
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #9706993 ← → #9707023

Radix Representation

Decimal 9707004
Binary 100101000001110111111100 (24 bits)
Octal 0o45016774
Hexadecimal 0x941DFC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1,692 5,737 11,474 17,211 22,948 34,422 51,633 68,844 103,266 206,532 269,639 539,278 808,917 1,078,556 1,617,834 2,426,751 3,235,668 4,853,502 9,707,004

Collatz Trajectory (251 steps to reach 1)

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

9,707,004 4,853,502 2,426,751 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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