λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,565,673
4,565,673
33 × 73 × 17 × 29
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7^3 × 17 × 29
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 8,640,000
Proper Divisor Sum 4,074,327
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4565669 ← → #4565677

Radix Representation

Decimal 4565673
Binary 10001011010101010101001 (23 bits)
Octal 0o21325251
Hexadecimal 0x45AAA9

Divisor Catalog (60 of 64)

1 3 7 9 17 21 27 29 49 51 63 87 119 147 153 189 203 261 343 357 441 459 493 609 783 833 1,029 1,071 1,323 1,421 1,479 1,827 2,499 3,087 3,213 3,451 4,263 4,437 5,481 5,831 7,497 9,261 9,947 10,353 12,789 13,311 17,493 22,491 24,157 29,841 31,059 38,367 52,479 72,471 89,523 93,177 157,437 169,099 217,413 268,569

Collatz Trajectory (167 steps to reach 1)

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

4,565,673 13,697,020 6,848,510 3,424,255 10,272,766 5,136,383 15,409,150 7,704,575 23,113,726 11,556,863 34,670,590 17,335,295 52,005,886 26,002,943 78,008,830 39,004,415 117,013,246 58,506,623 175,519,870 87,759,935 263,279,806 131,639,903 394,919,710 197,459,855 592,379,566 296,189,783 888,569,350 444,284,675 1,332,854,026 666,427,013 1,999,281,040 999,640,520 499,820,260 249,910,130 124,955,065 374,865,196 187,432,598 93,716,299 281,148,898 140,574,449 421,723,348 210,861,674 105,430,837 316,292,512 158,146,256 79,073,128 39,536,564 19,768,282 9,884,141 29,652,424 14,826,212 7,413,106 3,706,553 11,119,660 5,559,830 2,779,915 8,339,746 4,169,873 12,509,620 6,254,810

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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