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Atlas › Integer Profiles › Node 32,089,484

32,089,484

22 × 7 × 79 × 89 × 163
Abundant Even Composite

32,089,484 factors as 2^2 × 7 × 79 × 89 × 163. Its 48 positive divisors give a proper-divisor sum of 34,035,316, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 79 × 89 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 66,124,800
Proper Divisor Sum 34,035,316
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #32089483 ← → #32089487

Radix Representation

Decimal 32089484
Binary 1111010011010010110001100 (25 bits)
Octal 0o172322614
Hexadecimal 0x1E9A58C

Divisor Catalog (48)

1 2 4 7 14 28 79 89 158 163 178 316 326 356 553 623 652 1,106 1,141 1,246 2,212 2,282 2,492 4,564 7,031 12,877 14,062 14,507 25,754 28,124 29,014 49,217 51,508 58,028 90,139 98,434 101,549 180,278 196,868 203,098 360,556 406,196 1,146,053 2,292,106 4,584,212 8,022,371 16,044,742 32,089,484

Collatz Trajectory (170 steps to reach 1)

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

32,089,484 16,044,742 8,022,371 24,067,114 12,033,557 36,100,672 18,050,336 9,025,168 4,512,584 2,256,292 1,128,146 564,073 1,692,220 846,110 423,055 1,269,166 634,583 1,903,750 951,875 2,855,626 1,427,813 4,283,440 2,141,720 1,070,860 535,430 267,715 803,146 401,573 1,204,720 602,360 301,180 150,590 75,295 225,886 112,943 338,830 169,415 508,246 254,123 762,370 381,185 1,143,556 571,778 285,889 857,668 428,834 214,417 643,252 321,626 160,813 482,440 241,220 120,610 60,305 180,916 90,458 45,229 135,688 67,844 33,922

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