9,711,027

3² × 29² × 1283

9,711,027 has the prime decomposition 3^2 × 29^2 × 1283. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 29^2 × 1283

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 14,538,732

Proper Divisor Sum 4,827,705

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #9711019 ← → #9711041

Radix Representation

Decimal	9711027
Binary	100101000010110110110011 (24 bits)
Octal	0o45026663
Hexadecimal	0x942DB3

Divisor Catalog (18)

1 3 9 29 87 261 841 1,283 2,523 3,849 7,569 11,547 37,207 111,621 334,863 1,079,003 3,237,009 9,711,027

Collatz Trajectory (163 steps to reach 1)

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

9,711,027 29,133,082 14,566,541 43,699,624 21,849,812 10,924,906 5,462,453 16,387,360 8,193,680 4,096,840 2,048,420 1,024,210 512,105 1,536,316 768,158 384,079 1,152,238 576,119 1,728,358 864,179 2,592,538 1,296,269 3,888,808 1,944,404 972,202 486,101 1,458,304 729,152 364,576 182,288 91,144 45,572 22,786 11,393 34,180 17,090 8,545 25,636 12,818 6,409 19,228 9,614 4,807 14,422 7,211 21,634 10,817 32,452 16,226 8,113 24,340 12,170 6,085 18,256 9,128 4,564 2,282 1,141 3,424 1,712

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