λ
Ratio Atlas
Atlas › Integer Profiles › Node 39,780,573
39,780,573
3 × 7 × 59 × 97 × 331
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7 × 59 × 97 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 62,469,120
Proper Divisor Sum 22,688,547
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #39780563 ← → #39780577

Radix Representation

Decimal 39780573
Binary 10010111110000000011011101 (26 bits)
Octal 0o227600335
Hexadecimal 0x25F00DD

Divisor Catalog (32)

1 3 7 21 59 97 177 291 331 413 679 993 1,239 2,037 2,317 5,723 6,951 17,169 19,529 32,107 40,061 58,587 96,321 120,183 136,703 224,749 410,109 674,247 1,894,313 5,682,939 13,260,191 39,780,573

Collatz Trajectory (147 steps to reach 1)

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

39,780,573 119,341,720 59,670,860 29,835,430 14,917,715 44,753,146 22,376,573 67,129,720 33,564,860 16,782,430 8,391,215 25,173,646 12,586,823 37,760,470 18,880,235 56,640,706 28,320,353 84,961,060 42,480,530 21,240,265 63,720,796 31,860,398 15,930,199 47,790,598 23,895,299 71,685,898 35,842,949 107,528,848 53,764,424 26,882,212 13,441,106 6,720,553 20,161,660 10,080,830 5,040,415 15,121,246 7,560,623 22,681,870 11,340,935 34,022,806 17,011,403 51,034,210 25,517,105 76,551,316 38,275,658 19,137,829 57,413,488 28,706,744 14,353,372 7,176,686 3,588,343 10,765,030 5,382,515 16,147,546 8,073,773 24,221,320 12,110,660 6,055,330 3,027,665 9,082,996

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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