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Atlas › Integer Profiles › Node 32,421,180

32,421,180

22 × 3 × 5 × 11 × 49123
Abundant Even Composite

32,421,180 factors as 2^2 × 3 × 5 × 11 × 49123. Its 48 positive divisors give a proper-divisor sum of 66,612,804, so this integer is abundant. The Collatz stopping time is 201 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 49123
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 99,033,984
Proper Divisor Sum 66,612,804
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #32421157 ← → #32421197

Radix Representation

Decimal 32421180
Binary 1111011101011010100111100 (25 bits)
Octal 0o173532474
Hexadecimal 0x1EEB53C

Divisor Catalog (48)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 49,123 98,246 147,369 196,492 245,615 294,738 491,230 540,353 589,476 736,845 982,460 1,080,706 1,473,690 1,621,059 2,161,412 2,701,765 2,947,380 3,242,118 5,403,530 6,484,236 8,105,295 10,807,060 16,210,590 32,421,180

Collatz Trajectory (201 steps to reach 1)

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

32,421,180 16,210,590 8,105,295 24,315,886 12,157,943 36,473,830 18,236,915 54,710,746 27,355,373 82,066,120 41,033,060 20,516,530 10,258,265 30,774,796 15,387,398 7,693,699 23,081,098 11,540,549 34,621,648 17,310,824 8,655,412 4,327,706 2,163,853 6,491,560 3,245,780 1,622,890 811,445 2,434,336 1,217,168 608,584 304,292 152,146 76,073 228,220 114,110 57,055 171,166 85,583 256,750 128,375 385,126 192,563 577,690 288,845 866,536 433,268 216,634 108,317 324,952 162,476 81,238 40,619 121,858 60,929 182,788 91,394 45,697 137,092 68,546 34,273

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