3,347,351

7 × 17 × 23 × 1223

3,347,351 factors as 7 × 17 × 23 × 1223. Its 16 positive divisors give a proper-divisor sum of 882,793, so this integer is deficient. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 7 × 17 × 23 × 1223

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,230,144

Proper Divisor Sum 882,793

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3347341 ← → #3347369

Radix Representation

Decimal	3347351
Binary	1100110001001110010111 (22 bits)
Octal	0o14611627
Hexadecimal	0x331397

Divisor Catalog (16)

1 7 17 23 119 161 391 1,223 2,737 8,561 20,791 28,129 145,537 196,903 478,193 3,347,351

Collatz Trajectory (115 steps to reach 1)

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

3,347,351 10,042,054 5,021,027 15,063,082 7,531,541 22,594,624 11,297,312 5,648,656 2,824,328 1,412,164 706,082 353,041 1,059,124 529,562 264,781 794,344 397,172 198,586 99,293 297,880 148,940 74,470 37,235 111,706 55,853 167,560 83,780 41,890 20,945 62,836 31,418 15,709 47,128 23,564 11,782 5,891 17,674 8,837 26,512 13,256 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544

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