λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,856,791
9,856,791
32 × 73 × 31 × 103
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7^3 × 31 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,305,600
Proper Divisor Sum 7,448,809
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9856789 ← → #9856817

Radix Representation

Decimal 9856791
Binary 100101100110011100010111 (24 bits)
Octal 0o45463427
Hexadecimal 0x966717

Divisor Catalog (48)

1 3 7 9 21 31 49 63 93 103 147 217 279 309 343 441 651 721 927 1,029 1,519 1,953 2,163 3,087 3,193 4,557 5,047 6,489 9,579 10,633 13,671 15,141 22,351 28,737 31,899 35,329 45,423 67,053 95,697 105,987 156,457 201,159 317,961 469,371 1,095,199 1,408,113 3,285,597 9,856,791

Collatz Trajectory (101 steps to reach 1)

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

9,856,791 29,570,374 14,785,187 44,355,562 22,177,781 66,533,344 33,266,672 16,633,336 8,316,668 4,158,334 2,079,167 6,237,502 3,118,751 9,356,254 4,678,127 14,034,382 7,017,191 21,051,574 10,525,787 31,577,362 15,788,681 47,366,044 23,683,022 11,841,511 35,524,534 17,762,267 53,286,802 26,643,401 79,930,204 39,965,102 19,982,551 59,947,654 29,973,827 89,921,482 44,960,741 134,882,224 67,441,112 33,720,556 16,860,278 8,430,139 25,290,418 12,645,209 37,935,628 18,967,814 9,483,907 28,451,722 14,225,861 42,677,584 21,338,792 10,669,396 5,334,698 2,667,349 8,002,048 4,001,024 2,000,512 1,000,256 500,128 250,064 125,032 62,516

Active Feeder Network

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

Feeder #3,913,373 Feeder #8,365,252 Feeder #6,573,969 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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