λ
Ratio Atlas
Atlas › Integer Profiles › Node 32,860,107
32,860,107
33 × 7 × 372 × 127
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 7 × 37^2 × 127
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 57,630,720
Proper Divisor Sum 24,770,613
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #32860081 ← → #32860111

Radix Representation

Decimal 32860107
Binary 1111101010110011111001011 (25 bits)
Octal 0o175263713
Hexadecimal 0x1F567CB

Divisor Catalog (48)

1 3 7 9 21 27 37 63 111 127 189 259 333 381 777 889 999 1,143 1,369 2,331 2,667 3,429 4,107 4,699 6,993 8,001 9,583 12,321 14,097 24,003 28,749 32,893 36,963 42,291 86,247 98,679 126,873 173,863 258,741 296,037 521,589 888,111 1,217,041 1,564,767 3,651,123 4,694,301 10,953,369 32,860,107

Collatz Trajectory (245 steps to reach 1)

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

32,860,107 98,580,322 49,290,161 147,870,484 73,935,242 36,967,621 110,902,864 55,451,432 27,725,716 13,862,858 6,931,429 20,794,288 10,397,144 5,198,572 2,599,286 1,299,643 3,898,930 1,949,465 5,848,396 2,924,198 1,462,099 4,386,298 2,193,149 6,579,448 3,289,724 1,644,862 822,431 2,467,294 1,233,647 3,700,942 1,850,471 5,551,414 2,775,707 8,327,122 4,163,561 12,490,684 6,245,342 3,122,671 9,368,014 4,684,007 14,052,022 7,026,011 21,078,034 10,539,017 31,617,052 15,808,526 7,904,263 23,712,790 11,856,395 35,569,186 17,784,593 53,353,780 26,676,890 13,338,445 40,015,336 20,007,668 10,003,834 5,001,917 15,005,752 7,502,876

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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