λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,770,878
9,770,878
2 × 13 × 67 × 71 × 79
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 13 × 67 × 71 × 79
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,450,560
Proper Divisor Sum 6,679,682
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #9770857 ← → #9770881

Radix Representation

Decimal 9770878
Binary 100101010001011101111110 (24 bits)
Octal 0o45213576
Hexadecimal 0x95177E

Divisor Catalog (32)

1 2 13 26 67 71 79 134 142 158 871 923 1,027 1,742 1,846 2,054 4,757 5,293 5,609 9,514 10,586 11,218 61,841 68,809 72,917 123,682 137,618 145,834 375,803 751,606 4,885,439 9,770,878

Collatz Trajectory (238 steps to reach 1)

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

9,770,878 4,885,439 14,656,318 7,328,159 21,984,478 10,992,239 32,976,718 16,488,359 49,465,078 24,732,539 74,197,618 37,098,809 111,296,428 55,648,214 27,824,107 83,472,322 41,736,161 125,208,484 62,604,242 31,302,121 93,906,364 46,953,182 23,476,591 70,429,774 35,214,887 105,644,662 52,822,331 158,466,994 79,233,497 237,700,492 118,850,246 59,425,123 178,275,370 89,137,685 267,413,056 133,706,528 66,853,264 33,426,632 16,713,316 8,356,658 4,178,329 12,534,988 6,267,494 3,133,747 9,401,242 4,700,621 14,101,864 7,050,932 3,525,466 1,762,733 5,288,200 2,644,100 1,322,050 661,025 1,983,076 991,538 495,769 1,487,308 743,654 371,827

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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