λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,713,730
9,713,730
2 × 3 × 5 × 13 × 24907
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3 × 5 × 13 × 24907
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,107,264
Proper Divisor Sum 15,393,534
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #9713729 ← → #9713741

Radix Representation

Decimal 9713730
Binary 100101000011100001000010 (24 bits)
Octal 0o45034102
Hexadecimal 0x943842

Divisor Catalog (32)

1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 390 24,907 49,814 74,721 124,535 149,442 249,070 323,791 373,605 647,582 747,210 971,373 1,618,955 1,942,746 3,237,910 4,856,865 9,713,730

Collatz Trajectory (238 steps to reach 1)

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

9,713,730 4,856,865 14,570,596 7,285,298 3,642,649 10,927,948 5,463,974 2,731,987 8,195,962 4,097,981 12,293,944 6,146,972 3,073,486 1,536,743 4,610,230 2,305,115 6,915,346 3,457,673 10,373,020 5,186,510 2,593,255 7,779,766 3,889,883 11,669,650 5,834,825 17,504,476 8,752,238 4,376,119 13,128,358 6,564,179 19,692,538 9,846,269 29,538,808 14,769,404 7,384,702 3,692,351 11,077,054 5,538,527 16,615,582 8,307,791 24,923,374 12,461,687 37,385,062 18,692,531 56,077,594 28,038,797 84,116,392 42,058,196 21,029,098 10,514,549 31,543,648 15,771,824 7,885,912 3,942,956 1,971,478 985,739 2,957,218 1,478,609 4,435,828 2,217,914

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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