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Ratio Atlas
Atlas › Integer Profiles › Node 6,736,041
6,736,041
34 × 13 × 6397
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 13 × 6397
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 10,838,212
Proper Divisor Sum 4,102,171
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6736039 ← → #6736061

Radix Representation

Decimal 6736041
Binary 11001101100100010101001 (23 bits)
Octal 0o31544251
Hexadecimal 0x66C8A9

Divisor Catalog (20)

1 3 9 13 27 39 81 117 351 1,053 6,397 19,191 57,573 83,161 172,719 249,483 518,157 748,449 2,245,347 6,736,041

Collatz Trajectory (178 steps to reach 1)

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

6,736,041 20,208,124 10,104,062 5,052,031 15,156,094 7,578,047 22,734,142 11,367,071 34,101,214 17,050,607 51,151,822 25,575,911 76,727,734 38,363,867 115,091,602 57,545,801 172,637,404 86,318,702 43,159,351 129,478,054 64,739,027 194,217,082 97,108,541 291,325,624 145,662,812 72,831,406 36,415,703 109,247,110 54,623,555 163,870,666 81,935,333 245,806,000 122,903,000 61,451,500 30,725,750 15,362,875 46,088,626 23,044,313 69,132,940 34,566,470 17,283,235 51,849,706 25,924,853 77,774,560 38,887,280 19,443,640 9,721,820 4,860,910 2,430,455 7,291,366 3,645,683 10,937,050 5,468,525 16,405,576 8,202,788 4,101,394 2,050,697 6,152,092 3,076,046 1,538,023

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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