3,508,167

3 × 13 × 23 × 3911

3,508,167 has the prime decomposition 3 × 13 × 23 × 3911. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 23 × 3911

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,257,728

Proper Divisor Sum 1,749,561

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3508163 ← → #3508189

Radix Representation

Decimal	3508167
Binary	1101011000011111000111 (22 bits)
Octal	0o15303707
Hexadecimal	0x3587C7

Divisor Catalog (16)

1 3 13 23 39 69 299 897 3,911 11,733 50,843 89,953 152,529 269,859 1,169,389 3,508,167

Collatz Trajectory (177 steps to reach 1)

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

3,508,167 10,524,502 5,262,251 15,786,754 7,893,377 23,680,132 11,840,066 5,920,033 17,760,100 8,880,050 4,440,025 13,320,076 6,660,038 3,330,019 9,990,058 4,995,029 14,985,088 7,492,544 3,746,272 1,873,136 936,568 468,284 234,142 117,071 351,214 175,607 526,822 263,411 790,234 395,117 1,185,352 592,676 296,338 148,169 444,508 222,254 111,127 333,382 166,691 500,074 250,037 750,112 375,056 187,528 93,764 46,882 23,441 70,324 35,162 17,581 52,744 26,372 13,186 6,593 19,780 9,890 4,945 14,836 7,418 3,709

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