λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,039,414
32,039,414
2 × 11 × 232 × 2753
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 11 × 23^2 × 2753
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 54,826,632
Proper Divisor Sum 22,787,218
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #32039393 ← → #32039417

Radix Representation

Decimal 32039414
Binary 1111010001110000111110110 (25 bits)
Octal 0o172160766
Hexadecimal 0x1E8E1F6

Divisor Catalog (24)

1 2 11 22 23 46 253 506 529 1,058 2,753 5,506 5,819 11,638 30,283 60,566 63,319 126,638 696,509 1,393,018 1,456,337 2,912,674 16,019,707 32,039,414

Collatz Trajectory (325 steps to reach 1)

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

32,039,414 16,019,707 48,059,122 24,029,561 72,088,684 36,044,342 18,022,171 54,066,514 27,033,257 81,099,772 40,549,886 20,274,943 60,824,830 30,412,415 91,237,246 45,618,623 136,855,870 68,427,935 205,283,806 102,641,903 307,925,710 153,962,855 461,888,566 230,944,283 692,832,850 346,416,425 1,039,249,276 519,624,638 259,812,319 779,436,958 389,718,479 1,169,155,438 584,577,719 1,753,733,158 876,866,579 2,630,599,738 1,315,299,869 3,945,899,608 1,972,949,804 986,474,902 493,237,451 1,479,712,354 739,856,177 2,219,568,532 1,109,784,266 554,892,133 1,664,676,400 832,338,200 416,169,100 208,084,550 104,042,275 312,126,826 156,063,413 468,190,240 234,095,120 117,047,560 58,523,780 29,261,890 14,630,945 43,892,836

Active Feeder Network

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

Feeder #6,573,969 Feeder #2,443,427 Feeder #6,845,105 Feeder #906,051 Feeder #1,285,993 Feeder #7,584,379 Feeder #4,761,186 Feeder #626,174
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