λ
Ratio Atlas
Atlas › Integer Profiles › Node 76,500,531
76,500,531
36 × 101 × 1039
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^6 × 101 × 1039
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 115,945,440
Proper Divisor Sum 39,444,909
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #76500503 ← → #76500551

Radix Representation

Decimal 76500531
Binary 100100011110100111000110011 (27 bits)
Octal 0o443647063
Hexadecimal 0x48F4E33

Divisor Catalog (28)

1 3 9 27 81 101 243 303 729 909 1,039 2,727 3,117 8,181 9,351 24,543 28,053 73,629 84,159 104,939 252,477 314,817 757,431 944,451 2,833,353 8,500,059 25,500,177 76,500,531

Collatz Trajectory (179 steps to reach 1)

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

76,500,531 229,501,594 114,750,797 344,252,392 172,126,196 86,063,098 43,031,549 129,094,648 64,547,324 32,273,662 16,136,831 48,410,494 24,205,247 72,615,742 36,307,871 108,923,614 54,461,807 163,385,422 81,692,711 245,078,134 122,539,067 367,617,202 183,808,601 551,425,804 275,712,902 137,856,451 413,569,354 206,784,677 620,354,032 310,177,016 155,088,508 77,544,254 38,772,127 116,316,382 58,158,191 174,474,574 87,237,287 261,711,862 130,855,931 392,567,794 196,283,897 588,851,692 294,425,846 147,212,923 441,638,770 220,819,385 662,458,156 331,229,078 165,614,539 496,843,618 248,421,809 745,265,428 372,632,714 186,316,357 558,949,072 279,474,536 139,737,268 69,868,634 34,934,317 104,802,952

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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