λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,709,900
9,709,900
22 × 52 × 89 × 1091
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 5^2 × 89 × 1091
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 21,326,760
Proper Divisor Sum 11,616,860
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9709897 ← → #9709901

Radix Representation

Decimal 9709900
Binary 100101000010100101001100 (24 bits)
Octal 0o45024514
Hexadecimal 0x94294C

Divisor Catalog (36)

1 2 4 5 10 20 25 50 89 100 178 356 445 890 1,091 1,780 2,182 2,225 4,364 4,450 5,455 8,900 10,910 21,820 27,275 54,550 97,099 109,100 194,198 388,396 485,495 970,990 1,941,980 2,427,475 4,854,950 9,709,900

Collatz Trajectory (238 steps to reach 1)

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

9,709,900 4,854,950 2,427,475 7,282,426 3,641,213 10,923,640 5,461,820 2,730,910 1,365,455 4,096,366 2,048,183 6,144,550 3,072,275 9,216,826 4,608,413 13,825,240 6,912,620 3,456,310 1,728,155 5,184,466 2,592,233 7,776,700 3,888,350 1,944,175 5,832,526 2,916,263 8,748,790 4,374,395 13,123,186 6,561,593 19,684,780 9,842,390 4,921,195 14,763,586 7,381,793 22,145,380 11,072,690 5,536,345 16,609,036 8,304,518 4,152,259 12,456,778 6,228,389 18,685,168 9,342,584 4,671,292 2,335,646 1,167,823 3,503,470 1,751,735 5,255,206 2,627,603 7,882,810 3,941,405 11,824,216 5,912,108 2,956,054 1,478,027 4,434,082 2,217,041

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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