λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,401,321
47,401,321
11 × 17 × 23 × 103 × 107
Deficient Odd Composite

Prime Factor Structure

Factorization String 11 × 17 × 23 × 103 × 107
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 58,226,688
Proper Divisor Sum 10,825,367
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #47401313 ← → #47401349

Radix Representation

Decimal 47401321
Binary 10110100110100100101101001 (26 bits)
Octal 0o264644551
Hexadecimal 0x2D34969

Divisor Catalog (32)

1 11 17 23 103 107 187 253 391 1,133 1,177 1,751 1,819 2,369 2,461 4,301 11,021 19,261 20,009 26,059 27,071 40,273 41,837 121,231 187,357 253,483 443,003 460,207 2,060,927 2,788,313 4,309,211 47,401,321

Collatz Trajectory (279 steps to reach 1)

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

47,401,321 142,203,964 71,101,982 35,550,991 106,652,974 53,326,487 159,979,462 79,989,731 239,969,194 119,984,597 359,953,792 179,976,896 89,988,448 44,994,224 22,497,112 11,248,556 5,624,278 2,812,139 8,436,418 4,218,209 12,654,628 6,327,314 3,163,657 9,490,972 4,745,486 2,372,743 7,118,230 3,559,115 10,677,346 5,338,673 16,016,020 8,008,010 4,004,005 12,012,016 6,006,008 3,003,004 1,501,502 750,751 2,252,254 1,126,127 3,378,382 1,689,191 5,067,574 2,533,787 7,601,362 3,800,681 11,402,044 5,701,022 2,850,511 8,551,534 4,275,767 12,827,302 6,413,651 19,240,954 9,620,477 28,861,432 14,430,716 7,215,358 3,607,679 10,823,038

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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