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Atlas › Integer Profiles › Node 50,562,304

50,562,304

28 × 13 × 15193
Abundant Even Composite

50,562,304 factors as 2^8 × 13 × 15193. Its 36 positive divisors give a proper-divisor sum of 58,135,572, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^8 × 13 × 15193
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 108,697,876
Proper Divisor Sum 58,135,572
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #50562299 ← → #50562311

Radix Representation

Decimal 50562304
Binary 11000000111000010100000000 (26 bits)
Octal 0o300702400
Hexadecimal 0x3038500

Divisor Catalog (36)

1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 832 1,664 3,328 15,193 30,386 60,772 121,544 197,509 243,088 395,018 486,176 790,036 972,352 1,580,072 1,944,704 3,160,144 3,889,408 6,320,288 12,640,576 25,281,152 50,562,304

Collatz Trajectory (199 steps to reach 1)

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

50,562,304 25,281,152 12,640,576 6,320,288 3,160,144 1,580,072 790,036 395,018 197,509 592,528 296,264 148,132 74,066 37,033 111,100 55,550 27,775 83,326 41,663 124,990 62,495 187,486 93,743 281,230 140,615 421,846 210,923 632,770 316,385 949,156 474,578 237,289 711,868 355,934 177,967 533,902 266,951 800,854 400,427 1,201,282 600,641 1,801,924 900,962 450,481 1,351,444 675,722 337,861 1,013,584 506,792 253,396 126,698 63,349 190,048 95,024 47,512 23,756 11,878 5,939 17,818 8,909

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