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Atlas › Integer Profiles › Node 52,289,692

52,289,692

22 × 7 × 13 × 143653
Abundant Even Composite

52,289,692 factors as 2^2 × 7 × 13 × 143653. Its 24 positive divisors give a proper-divisor sum of 60,335,044, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 143653
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 112,624,736
Proper Divisor Sum 60,335,044
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #52289669 ← → #52289707

Radix Representation

Decimal 52289692
Binary 11000111011110000010011100 (26 bits)
Octal 0o307360234
Hexadecimal 0x31DE09C

Divisor Catalog (24)

1 2 4 7 13 14 26 28 52 91 182 364 143,653 287,306 574,612 1,005,571 1,867,489 2,011,142 3,734,978 4,022,284 7,469,956 13,072,423 26,144,846 52,289,692

Collatz Trajectory (225 steps to reach 1)

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

52,289,692 26,144,846 13,072,423 39,217,270 19,608,635 58,825,906 29,412,953 88,238,860 44,119,430 22,059,715 66,179,146 33,089,573 99,268,720 49,634,360 24,817,180 12,408,590 6,204,295 18,612,886 9,306,443 27,919,330 13,959,665 41,878,996 20,939,498 10,469,749 31,409,248 15,704,624 7,852,312 3,926,156 1,963,078 981,539 2,944,618 1,472,309 4,416,928 2,208,464 1,104,232 552,116 276,058 138,029 414,088 207,044 103,522 51,761 155,284 77,642 38,821 116,464 58,232 29,116 14,558 7,279 21,838 10,919 32,758 16,379 49,138 24,569 73,708 36,854 18,427 55,282

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