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Atlas › Integer Profiles › Node 5,166,912

5,166,912

26 × 3 × 17 × 1583
Abundant Even Composite

5,166,912 factors as 2^6 × 3 × 17 × 1583. Its 56 positive divisors give a proper-divisor sum of 9,317,184, so this integer is abundant. The Collatz stopping time is 56 steps.

Prime Factor Structure

Factorization String 2^6 × 3 × 17 × 1583
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 14,484,096
Proper Divisor Sum 9,317,184
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5166893 ← → #5166919

Radix Representation

Decimal 5166912
Binary 10011101101011101000000 (23 bits)
Octal 0o23553500
Hexadecimal 0x4ED740

Divisor Catalog (56)

1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1,088 1,583 1,632 3,166 3,264 4,749 6,332 9,498 12,664 18,996 25,328 26,911 37,992 50,656 53,822 75,984 80,733 101,312 107,644 151,968 161,466 215,288 303,936 322,932 430,576 645,864 861,152 1,291,728 1,722,304 2,583,456 5,166,912

Collatz Trajectory (56 steps to reach 1)

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

5,166,912 2,583,456 1,291,728 645,864 322,932 161,466 80,733 242,200 121,100 60,550 30,275 90,826 45,413 136,240 68,120 34,060 17,030 8,515 25,546 12,773 38,320 19,160 9,580 4,790 2,395 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

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