3,114,009

3² × 17 × 20353

3,114,009 has the prime decomposition 3^2 × 17 × 20353. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 17 × 20353

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,762,836

Proper Divisor Sum 1,648,827

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3113987 ← → #3114019

Radix Representation

Decimal	3114009
Binary	1011111000010000011001 (22 bits)
Octal	0o13702031
Hexadecimal	0x2F8419

Divisor Catalog (12)

1 3 9 17 51 153 20,353 61,059 183,177 346,001 1,038,003 3,114,009

Collatz Trajectory (226 steps to reach 1)

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

3,114,009 9,342,028 4,671,014 2,335,507 7,006,522 3,503,261 10,509,784 5,254,892 2,627,446 1,313,723 3,941,170 1,970,585 5,911,756 2,955,878 1,477,939 4,433,818 2,216,909 6,650,728 3,325,364 1,662,682 831,341 2,494,024 1,247,012 623,506 311,753 935,260 467,630 233,815 701,446 350,723 1,052,170 526,085 1,578,256 789,128 394,564 197,282 98,641 295,924 147,962 73,981 221,944 110,972 55,486 27,743 83,230 41,615 124,846 62,423 187,270 93,635 280,906 140,453 421,360 210,680 105,340 52,670 26,335 79,006 39,503 118,510

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