λ
Ratio Atlas

52,531,739

13 × 4040903
Deficient Odd Composite

52,531,739 factors as 13 × 4040903. Its 4 positive divisors give a proper-divisor sum of 4,040,917, so this integer is deficient. The Collatz stopping time is 349 steps.

Prime Factor Structure

Factorization String 13 × 4040903
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 56,572,656
Proper Divisor Sum 4,040,917
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #52531733 ← → #52531741

Radix Representation

Decimal 52531739
Binary 11001000011001001000011011 (26 bits)
Octal 0o310311033
Hexadecimal 0x321921B

Divisor Catalog (4)

Collatz Trajectory (349 steps to reach 1)

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

52,531,739 157,595,218 78,797,609 236,392,828 118,196,414 59,098,207 177,294,622 88,647,311 265,941,934 132,970,967 398,912,902 199,456,451 598,369,354 299,184,677 897,554,032 448,777,016 224,388,508 112,194,254 56,097,127 168,291,382 84,145,691 252,437,074 126,218,537 378,655,612 189,327,806 94,663,903 283,991,710 141,995,855 425,987,566 212,993,783 638,981,350 319,490,675 958,472,026 479,236,013 1,437,708,040 718,854,020 359,427,010 179,713,505 539,140,516 269,570,258 134,785,129 404,355,388 202,177,694 101,088,847 303,266,542 151,633,271 454,899,814 227,449,907 682,349,722 341,174,861 1,023,524,584 511,762,292 255,881,146 127,940,573 383,821,720 191,910,860 95,955,430 47,977,715 143,933,146 71,966,573

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