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Atlas › Integer Profiles › Node 5,165,944

5,165,944

23 × 7 × 29 × 3181
Abundant Even Composite

5,165,944 factors as 2^3 × 7 × 29 × 3181. Its 32 positive divisors give a proper-divisor sum of 6,289,256, so this integer is abundant. The Collatz stopping time is 219 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 29 × 3181
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,455,200
Proper Divisor Sum 6,289,256
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5165939 ← → #5165947

Radix Representation

Decimal 5165944
Binary 10011101101001101111000 (23 bits)
Octal 0o23551570
Hexadecimal 0x4ED378

Divisor Catalog (32)

1 2 4 7 8 14 28 29 56 58 116 203 232 406 812 1,624 3,181 6,362 12,724 22,267 25,448 44,534 89,068 92,249 178,136 184,498 368,996 645,743 737,992 1,291,486 2,582,972 5,165,944

Collatz Trajectory (219 steps to reach 1)

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

5,165,944 2,582,972 1,291,486 645,743 1,937,230 968,615 2,905,846 1,452,923 4,358,770 2,179,385 6,538,156 3,269,078 1,634,539 4,903,618 2,451,809 7,355,428 3,677,714 1,838,857 5,516,572 2,758,286 1,379,143 4,137,430 2,068,715 6,206,146 3,103,073 9,309,220 4,654,610 2,327,305 6,981,916 3,490,958 1,745,479 5,236,438 2,618,219 7,854,658 3,927,329 11,781,988 5,890,994 2,945,497 8,836,492 4,418,246 2,209,123 6,627,370 3,313,685 9,941,056 4,970,528 2,485,264 1,242,632 621,316 310,658 155,329 465,988 232,994 116,497 349,492 174,746 87,373 262,120 131,060 65,530 32,765

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