3,310,097

7² × 43 × 1571

3,310,097 factors as 7^2 × 43 × 1571. Its 12 positive divisors give a proper-divisor sum of 632,479, so this integer is deficient. The Collatz stopping time is 71 steps.

Prime Factor Structure

Factorization String 7^2 × 43 × 1571

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,942,576

Proper Divisor Sum 632,479

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #3310079 ← → #3310117

Radix Representation

Decimal	3310097
Binary	1100101000001000010001 (22 bits)
Octal	0o14501021
Hexadecimal	0x328211

Divisor Catalog (12)

1 7 43 49 301 1,571 2,107 10,997 67,553 76,979 472,871 3,310,097

Collatz Trajectory (71 steps to reach 1)

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

3,310,097 9,930,292 4,965,146 2,482,573 7,447,720 3,723,860 1,861,930 930,965 2,792,896 1,396,448 698,224 349,112 174,556 87,278 43,639 130,918 65,459 196,378 98,189 294,568 147,284 73,642 36,821 110,464 55,232 27,616 13,808 6,904 3,452 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29 88 44 22 11 34 17

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