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Atlas › Integer Profiles › Node 5,336,478

5,336,478

2 × 32 × 7 × 41 × 1033
Abundant Even Composite

5,336,478 factors as 2 × 3^2 × 7 × 41 × 1033. Its 48 positive divisors give a proper-divisor sum of 8,213,058, so this integer is abundant. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 7 × 41 × 1033
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,549,536
Proper Divisor Sum 8,213,058
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5336477 ← → #5336479

Radix Representation

Decimal 5336478
Binary 10100010110110110011110 (23 bits)
Octal 0o24266636
Hexadecimal 0x516D9E

Divisor Catalog (48)

1 2 3 6 7 9 14 18 21 41 42 63 82 123 126 246 287 369 574 738 861 1,033 1,722 2,066 2,583 3,099 5,166 6,198 7,231 9,297 14,462 18,594 21,693 42,353 43,386 65,079 84,706 127,059 130,158 254,118 296,471 381,177 592,942 762,354 889,413 1,778,826 2,668,239 5,336,478

Collatz Trajectory (95 steps to reach 1)

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

5,336,478 2,668,239 8,004,718 4,002,359 12,007,078 6,003,539 18,010,618 9,005,309 27,015,928 13,507,964 6,753,982 3,376,991 10,130,974 5,065,487 15,196,462 7,598,231 22,794,694 11,397,347 34,192,042 17,096,021 51,288,064 25,644,032 12,822,016 6,411,008 3,205,504 1,602,752 801,376 400,688 200,344 100,172 50,086 25,043 75,130 37,565 112,696 56,348 28,174 14,087 42,262 21,131 63,394 31,697 95,092 47,546 23,773 71,320 35,660 17,830 8,915 26,746 13,373 40,120 20,060 10,030 5,015 15,046 7,523 22,570 11,285 33,856

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