335,533

11² × 47 × 59

335,533 factors as 11^2 × 47 × 59. Its 12 positive divisors give a proper-divisor sum of 47,507, so this integer is deficient. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 11^2 × 47 × 59

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 383,040

Proper Divisor Sum 47,507

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #335527 ← → #335539

Radix Representation

Decimal	335533
Binary	1010001111010101101 (19 bits)
Octal	0o1217255
Hexadecimal	0x51EAD

Divisor Catalog (12)

1 11 47 59 121 517 649 2,773 5,687 7,139 30,503 335,533

Collatz Trajectory (184 steps to reach 1)

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

335,533 1,006,600 503,300 251,650 125,825 377,476 188,738 94,369 283,108 141,554 70,777 212,332 106,166 53,083 159,250 79,625 238,876 119,438 59,719 179,158 89,579 268,738 134,369 403,108 201,554 100,777 302,332 151,166 75,583 226,750 113,375 340,126 170,063 510,190 255,095 765,286 382,643 1,147,930 573,965 1,721,896 860,948 430,474 215,237 645,712 322,856 161,428 80,714 40,357 121,072 60,536 30,268 15,134 7,567 22,702 11,351 34,054 17,027 51,082 25,541 76,624

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