λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,948,519
9,948,519
32 × 72 × 17 × 1327
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7^2 × 17 × 1327
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 17,712,864
Proper Divisor Sum 7,764,345
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #9948517 ← → #9948541

Radix Representation

Decimal 9948519
Binary 100101111100110101100111 (24 bits)
Octal 0o45746547
Hexadecimal 0x97CD67

Divisor Catalog (36)

1 3 7 9 17 21 49 51 63 119 147 153 357 441 833 1,071 1,327 2,499 3,981 7,497 9,289 11,943 22,559 27,867 65,023 67,677 83,601 157,913 195,069 203,031 473,739 585,207 1,105,391 1,421,217 3,316,173 9,948,519

Collatz Trajectory (238 steps to reach 1)

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

9,948,519 29,845,558 14,922,779 44,768,338 22,384,169 67,152,508 33,576,254 16,788,127 50,364,382 25,182,191 75,546,574 37,773,287 113,319,862 56,659,931 169,979,794 84,989,897 254,969,692 127,484,846 63,742,423 191,227,270 95,613,635 286,840,906 143,420,453 430,261,360 215,130,680 107,565,340 53,782,670 26,891,335 80,674,006 40,337,003 121,011,010 60,505,505 181,516,516 90,758,258 45,379,129 136,137,388 68,068,694 34,034,347 102,103,042 51,051,521 153,154,564 76,577,282 38,288,641 114,865,924 57,432,962 28,716,481 86,149,444 43,074,722 21,537,361 64,612,084 32,306,042 16,153,021 48,459,064 24,229,532 12,114,766 6,057,383 18,172,150 9,086,075 27,258,226 13,629,113

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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