3,006,171

3² × 7 × 47717

3,006,171 is odd and not a perfect square. Its factorization is 3^2 × 7 × 47717 and its 12 divisors sum to 4,962,672.

Prime Factor Structure

Factorization String 3^2 × 7 × 47717

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,962,672

Proper Divisor Sum 1,956,501

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3006151 ← → #3006193

Radix Representation

Decimal	3006171
Binary	1011011101111011011011 (22 bits)
Octal	0o13357333
Hexadecimal	0x2DDEDB

Divisor Catalog (12)

1 3 7 9 21 63 47,717 143,151 334,019 429,453 1,002,057 3,006,171

Collatz Trajectory (89 steps to reach 1)

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

3,006,171 9,018,514 4,509,257 13,527,772 6,763,886 3,381,943 10,145,830 5,072,915 15,218,746 7,609,373 22,828,120 11,414,060 5,707,030 2,853,515 8,560,546 4,280,273 12,840,820 6,420,410 3,210,205 9,630,616 4,815,308 2,407,654 1,203,827 3,611,482 1,805,741 5,417,224 2,708,612 1,354,306 677,153 2,031,460 1,015,730 507,865 1,523,596 761,798 380,899 1,142,698 571,349 1,714,048 857,024 428,512 214,256 107,128 53,564 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197 135,592 67,796 33,898 16,949 50,848 25,424 12,712 6,356 3,178

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