3,948,607

13 × 17² × 1051

3,948,607 factors as 13 × 17^2 × 1051. Its 12 positive divisors give a proper-divisor sum of 572,889, so this integer is deficient. The Collatz stopping time is 291 steps.

Prime Factor Structure

Factorization String 13 × 17^2 × 1051

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,521,496

Proper Divisor Sum 572,889

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #3948589 ← → #3948613

Radix Representation

Decimal	3948607
Binary	1111000100000000111111 (22 bits)
Octal	0o17040077
Hexadecimal	0x3C403F

Divisor Catalog (12)

1 13 17 221 289 1,051 3,757 13,663 17,867 232,271 303,739 3,948,607

Collatz Trajectory (291 steps to reach 1)

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

3,948,607 11,845,822 5,922,911 17,768,734 8,884,367 26,653,102 13,326,551 39,979,654 19,989,827 59,969,482 29,984,741 89,954,224 44,977,112 22,488,556 11,244,278 5,622,139 16,866,418 8,433,209 25,299,628 12,649,814 6,324,907 18,974,722 9,487,361 28,462,084 14,231,042 7,115,521 21,346,564 10,673,282 5,336,641 16,009,924 8,004,962 4,002,481 12,007,444 6,003,722 3,001,861 9,005,584 4,502,792 2,251,396 1,125,698 562,849 1,688,548 844,274 422,137 1,266,412 633,206 316,603 949,810 474,905 1,424,716 712,358 356,179 1,068,538 534,269 1,602,808 801,404 400,702 200,351 601,054 300,527 901,582

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