λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,107,680
1,107,680
25 × 5 × 7 × 23 × 43
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5 × 7 × 23 × 43
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 3,193,344
Proper Divisor Sum 2,085,664
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1107679 ← → #1107721

Radix Representation

Decimal 1107680
Binary 100001110011011100000 (21 bits)
Octal 0o4163340
Hexadecimal 0x10E6E0

Divisor Catalog (60 of 96)

1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 43 46 56 70 80 86 92 112 115 140 160 161 172 184 215 224 230 280 301 322 344 368 430 460 560 602 644 688 736 805 860 920 989 1,120 1,204 1,288 1,376 1,505 1,610 1,720 1,840 1,978 2,408 2,576 3,010

Collatz Trajectory (59 steps to reach 1)

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

1,107,680 553,840 276,920 138,460 69,230 34,615 103,846 51,923 155,770 77,885 233,656 116,828 58,414 29,207 87,622 43,811 131,434 65,717 197,152 98,576 49,288 24,644 12,322 6,161 18,484 9,242 4,621 13,864 6,932 3,466 1,733 5,200 2,600 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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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