λ
Ratio Atlas
Atlas › Integer Profiles › Node 87,701,436
87,701,436
22 × 32 × 17 × 47 × 3049
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3^2 × 17 × 47 × 3049
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 239,803,200
Proper Divisor Sum 152,101,764
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #87701413 ← → #87701437

Radix Representation

Decimal 87701436
Binary 101001110100011011110111100 (27 bits)
Octal 0o516433674
Hexadecimal 0x53A37BC

Divisor Catalog (60 of 72)

1 2 3 4 6 9 12 17 18 34 36 47 51 68 94 102 141 153 188 204 282 306 423 564 612 799 846 1,598 1,692 2,397 3,049 3,196 4,794 6,098 7,191 9,147 9,588 12,196 14,382 18,294 27,441 28,764 36,588 51,833 54,882 103,666 109,764 143,303 155,499 207,332 286,606 310,998 429,909 466,497 573,212 621,996 859,818 932,994 1,289,727 1,719,636

Collatz Trajectory (197 steps to reach 1)

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

87,701,436 43,850,718 21,925,359 65,776,078 32,888,039 98,664,118 49,332,059 147,996,178 73,998,089 221,994,268 110,997,134 55,498,567 166,495,702 83,247,851 249,743,554 124,871,777 374,615,332 187,307,666 93,653,833 280,961,500 140,480,750 70,240,375 210,721,126 105,360,563 316,081,690 158,040,845 474,122,536 237,061,268 118,530,634 59,265,317 177,795,952 88,897,976 44,448,988 22,224,494 11,112,247 33,336,742 16,668,371 50,005,114 25,002,557 75,007,672 37,503,836 18,751,918 9,375,959 28,127,878 14,063,939 42,191,818 21,095,909 63,287,728 31,643,864 15,821,932 7,910,966 3,955,483 11,866,450 5,933,225 17,799,676 8,899,838 4,449,919 13,349,758 6,674,879 20,024,638

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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