3,357,009

3² × 359 × 1039

3,357,009 has digital root 9. The neighboring primes are 3357001 and 3357019; its proper-divisor sum differs from the starting integer by -1,846,818.

Prime Factor Structure

Factorization String 3^2 × 359 × 1039

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,867,200

Proper Divisor Sum 1,510,191

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3357001 ← → #3357019

Radix Representation

Decimal	3357009
Binary	1100110011100101010001 (22 bits)
Octal	0o14634521
Hexadecimal	0x333951

Divisor Catalog (12)

1 3 9 359 1,039 1,077 3,117 3,231 9,351 373,001 1,119,003 3,357,009

Collatz Trajectory (133 steps to reach 1)

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

3,357,009 10,071,028 5,035,514 2,517,757 7,553,272 3,776,636 1,888,318 944,159 2,832,478 1,416,239 4,248,718 2,124,359 6,373,078 3,186,539 9,559,618 4,779,809 14,339,428 7,169,714 3,584,857 10,754,572 5,377,286 2,688,643 8,065,930 4,032,965 12,098,896 6,049,448 3,024,724 1,512,362 756,181 2,268,544 1,134,272 567,136 283,568 141,784 70,892 35,446 17,723 53,170 26,585 79,756 39,878 19,939 59,818 29,909 89,728 44,864 22,432 11,216 5,608 2,804 1,402 701 2,104 1,052 526 263 790 395 1,186 593

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