λ
Ratio Atlas
Atlas › Integer Profiles › Node 47,653,272
47,653,272
23 × 36 × 8171
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3^6 × 8171
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 133,979,940
Proper Divisor Sum 86,326,668
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #47653271 ← → #47653313

Radix Representation

Decimal 47653272
Binary 10110101110010000110011000 (26 bits)
Octal 0o265620630
Hexadecimal 0x2D72198

Divisor Catalog (56)

1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1,458 1,944 2,916 5,832 8,171 16,342 24,513 32,684 49,026 65,368 73,539 98,052 147,078 196,104 220,617 294,156 441,234 588,312 661,851 882,468 1,323,702 1,764,936 1,985,553 2,647,404 3,971,106 5,294,808 5,956,659 7,942,212 11,913,318 15,884,424 23,826,636 47,653,272

Collatz Trajectory (155 steps to reach 1)

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

47,653,272 23,826,636 11,913,318 5,956,659 17,869,978 8,934,989 26,804,968 13,402,484 6,701,242 3,350,621 10,051,864 5,025,932 2,512,966 1,256,483 3,769,450 1,884,725 5,654,176 2,827,088 1,413,544 706,772 353,386 176,693 530,080 265,040 132,520 66,260 33,130 16,565 49,696 24,848 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242

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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