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Atlas › Integer Profiles › Node 52,590,798

52,590,798

2 × 32 × 13 × 379 × 593
Abundant Even Composite

52,590,798 factors as 2 × 3^2 × 13 × 379 × 593. Its 48 positive divisors give a proper-divisor sum of 70,652,322, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 379 × 593
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 123,243,120
Proper Divisor Sum 70,652,322
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #52590793 ← → #52590799

Radix Representation

Decimal 52590798
Binary 11001000100111100011001110 (26 bits)
Octal 0o310474316
Hexadecimal 0x32278CE

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 78 117 234 379 593 758 1,137 1,186 1,779 2,274 3,411 3,558 4,927 5,337 6,822 7,709 9,854 10,674 14,781 15,418 23,127 29,562 44,343 46,254 69,381 88,686 138,762 224,747 449,494 674,241 1,348,482 2,022,723 2,921,711 4,045,446 5,843,422 8,765,133 17,530,266 26,295,399 52,590,798

Collatz Trajectory (199 steps to reach 1)

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

52,590,798 26,295,399 78,886,198 39,443,099 118,329,298 59,164,649 177,493,948 88,746,974 44,373,487 133,120,462 66,560,231 199,680,694 99,840,347 299,521,042 149,760,521 449,281,564 224,640,782 112,320,391 336,961,174 168,480,587 505,441,762 252,720,881 758,162,644 379,081,322 189,540,661 568,621,984 284,310,992 142,155,496 71,077,748 35,538,874 17,769,437 53,308,312 26,654,156 13,327,078 6,663,539 19,990,618 9,995,309 29,985,928 14,992,964 7,496,482 3,748,241 11,244,724 5,622,362 2,811,181 8,433,544 4,216,772 2,108,386 1,054,193 3,162,580 1,581,290 790,645 2,371,936 1,185,968 592,984 296,492 148,246 74,123 222,370 111,185 333,556

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