λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,727,605
9,727,605
32 × 5 × 113 × 1913
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 5 × 113 × 1913
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,019,288
Proper Divisor Sum 7,291,683
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #9727603 ← → #9727649

Radix Representation

Decimal 9727605
Binary 100101000110111001110101 (24 bits)
Octal 0o45067165
Hexadecimal 0x946E75

Divisor Catalog (24)

1 3 5 9 15 45 113 339 565 1,017 1,695 1,913 5,085 5,739 9,565 17,217 28,695 86,085 216,169 648,507 1,080,845 1,945,521 3,242,535 9,727,605

Collatz Trajectory (194 steps to reach 1)

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

9,727,605 29,182,816 14,591,408 7,295,704 3,647,852 1,823,926 911,963 2,735,890 1,367,945 4,103,836 2,051,918 1,025,959 3,077,878 1,538,939 4,616,818 2,308,409 6,925,228 3,462,614 1,731,307 5,193,922 2,596,961 7,790,884 3,895,442 1,947,721 5,843,164 2,921,582 1,460,791 4,382,374 2,191,187 6,573,562 3,286,781 9,860,344 4,930,172 2,465,086 1,232,543 3,697,630 1,848,815 5,546,446 2,773,223 8,319,670 4,159,835 12,479,506 6,239,753 18,719,260 9,359,630 4,679,815 14,039,446 7,019,723 21,059,170 10,529,585 31,588,756 15,794,378 7,897,189 23,691,568 11,845,784 5,922,892 2,961,446 1,480,723 4,442,170 2,221,085

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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