3,397,347

3² × 73 × 5171

3,397,347 factors as 3^2 × 73 × 5171. Its 12 positive divisors give a proper-divisor sum of 1,578,117, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 3^2 × 73 × 5171

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,975,464

Proper Divisor Sum 1,578,117

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3397343 ← → #3397351

Radix Representation

Decimal	3397347
Binary	1100111101011011100011 (22 bits)
Octal	0o14753343
Hexadecimal	0x33D6E3

Divisor Catalog (12)

1 3 9 73 219 657 5,171 15,513 46,539 377,483 1,132,449 3,397,347

Collatz Trajectory (177 steps to reach 1)

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

3,397,347 10,192,042 5,096,021 15,288,064 7,644,032 3,822,016 1,911,008 955,504 477,752 238,876 119,438 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 38,312 19,156 9,578 4,789 14,368 7,184 3,592

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