3,708,159

3 × 7 × 13 × 17² × 47

3,708,159 is odd and not a perfect square. Its factorization is 3 × 7 × 13 × 17^2 × 47 and its 48 divisors sum to 6,601,728.

Prime Factor Structure

Factorization String 3 × 7 × 13 × 17^2 × 47

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,601,728

Proper Divisor Sum 2,893,569

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3708157 ← → #3708161

Radix Representation

Decimal	3708159
Binary	1110001001010011111111 (22 bits)
Octal	0o16112377
Hexadecimal	0x3894FF

Divisor Catalog (48)

1 3 7 13 17 21 39 47 51 91 119 141 221 273 289 329 357 611 663 799 867 987 1,547 1,833 2,023 2,397 3,757 4,277 4,641 5,593 6,069 10,387 11,271 12,831 13,583 16,779 26,299 31,161 40,749 72,709 78,897 95,081 176,579 218,127 285,243 529,737 1,236,053 3,708,159

Collatz Trajectory (172 steps to reach 1)

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

3,708,159 11,124,478 5,562,239 16,686,718 8,343,359 25,030,078 12,515,039 37,545,118 18,772,559 56,317,678 28,158,839 84,476,518 42,238,259 126,714,778 63,357,389 190,072,168 95,036,084 47,518,042 23,759,021 71,277,064 35,638,532 17,819,266 8,909,633 26,728,900 13,364,450 6,682,225 20,046,676 10,023,338 5,011,669 15,035,008 7,517,504 3,758,752 1,879,376 939,688 469,844 234,922 117,461 352,384 176,192 88,096 44,048 22,024 11,012 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109

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