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2,909,445

3 × 5 × 7 × 112 × 229
Abundant Odd Composite

Prime Factor Structure

Factorization String 3 × 5 × 7 × 11^2 × 229
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,873,280
Proper Divisor Sum 2,963,835
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2909429 ← → #2909447

Radix Representation

Decimal 2909445
Binary 1011000110010100000101 (22 bits)
Octal 0o13062405
Hexadecimal 0x2C6505

Divisor Catalog (48)

1 3 5 7 11 15 21 33 35 55 77 105 121 165 229 231 363 385 605 687 847 1,145 1,155 1,603 1,815 2,519 2,541 3,435 4,235 4,809 7,557 8,015 12,595 12,705 17,633 24,045 27,709 37,785 52,899 83,127 88,165 138,545 193,963 264,495 415,635 581,889 969,815 2,909,445

Collatz Trajectory (138 steps to reach 1)

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

2,909,445 8,728,336 4,364,168 2,182,084 1,091,042 545,521 1,636,564 818,282 409,141 1,227,424 613,712 306,856 153,428 76,714 38,357 115,072 57,536 28,768 14,384 7,192 3,596 1,798 899 2,698 1,349 4,048 2,024 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

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