λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,723,770
9,723,770
2 × 5 × 7 × 31 × 4481
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 5 × 7 × 31 × 4481
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 20,653,056
Proper Divisor Sum 10,929,286
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #9723767 ← → #9723773

Radix Representation

Decimal 9723770
Binary 100101000101111101111010 (24 bits)
Octal 0o45057572
Hexadecimal 0x945F7A

Divisor Catalog (32)

1 2 5 7 10 14 31 35 62 70 155 217 310 434 1,085 2,170 4,481 8,962 22,405 31,367 44,810 62,734 138,911 156,835 277,822 313,670 694,555 972,377 1,389,110 1,944,754 4,861,885 9,723,770

Collatz Trajectory (225 steps to reach 1)

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

9,723,770 4,861,885 14,585,656 7,292,828 3,646,414 1,823,207 5,469,622 2,734,811 8,204,434 4,102,217 12,306,652 6,153,326 3,076,663 9,229,990 4,614,995 13,844,986 6,922,493 20,767,480 10,383,740 5,191,870 2,595,935 7,787,806 3,893,903 11,681,710 5,840,855 17,522,566 8,761,283 26,283,850 13,141,925 39,425,776 19,712,888 9,856,444 4,928,222 2,464,111 7,392,334 3,696,167 11,088,502 5,544,251 16,632,754 8,316,377 24,949,132 12,474,566 6,237,283 18,711,850 9,355,925 28,067,776 14,033,888 7,016,944 3,508,472 1,754,236 877,118 438,559 1,315,678 657,839 1,973,518 986,759 2,960,278 1,480,139 4,440,418 2,220,209

Active Feeder Network

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

Feeder #6,573,969 Feeder #6,845,105 Feeder #8,750,980 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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