λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,965,166
47,965,166
2 × 23 × 67 × 79 × 197
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 23 × 67 × 79 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 77,552,640
Proper Divisor Sum 29,587,474
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #47965163 ← → #47965193

Radix Representation

Decimal 47965166
Binary 10110110111110001111101110 (26 bits)
Octal 0o266761756
Hexadecimal 0x2DBE3EE

Divisor Catalog (32)

1 2 23 46 67 79 134 158 197 394 1,541 1,817 3,082 3,634 4,531 5,293 9,062 10,586 13,199 15,563 26,398 31,126 121,739 243,478 303,577 357,949 607,154 715,898 1,042,721 2,085,442 23,982,583 47,965,166

Collatz Trajectory (310 steps to reach 1)

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

47,965,166 23,982,583 71,947,750 35,973,875 107,921,626 53,960,813 161,882,440 80,941,220 40,470,610 20,235,305 60,705,916 30,352,958 15,176,479 45,529,438 22,764,719 68,294,158 34,147,079 102,441,238 51,220,619 153,661,858 76,830,929 230,492,788 115,246,394 57,623,197 172,869,592 86,434,796 43,217,398 21,608,699 64,826,098 32,413,049 97,239,148 48,619,574 24,309,787 72,929,362 36,464,681 109,394,044 54,697,022 27,348,511 82,045,534 41,022,767 123,068,302 61,534,151 184,602,454 92,301,227 276,903,682 138,451,841 415,355,524 207,677,762 103,838,881 311,516,644 155,758,322 77,879,161 233,637,484 116,818,742 58,409,371 175,228,114 87,614,057 262,842,172 131,421,086 65,710,543

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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