3,344,409

3⁵ × 13763

3,344,409 has digital root 9. The neighboring primes are 3344401 and 3344417; its proper-divisor sum differs from the starting integer by -1,678,722.

Prime Factor Structure

Factorization String 3^5 × 13763

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,010,096

Proper Divisor Sum 1,665,687

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3344401 ← → #3344417

Radix Representation

Decimal	3344409
Binary	1100110000100000011001 (22 bits)
Octal	0o14604031
Hexadecimal	0x330819

Divisor Catalog (12)

1 3 9 27 81 243 13,763 41,289 123,867 371,601 1,114,803 3,344,409

Collatz Trajectory (159 steps to reach 1)

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

3,344,409 10,033,228 5,016,614 2,508,307 7,524,922 3,762,461 11,287,384 5,643,692 2,821,846 1,410,923 4,232,770 2,116,385 6,349,156 3,174,578 1,587,289 4,761,868 2,380,934 1,190,467 3,571,402 1,785,701 5,357,104 2,678,552 1,339,276 669,638 334,819 1,004,458 502,229 1,506,688 753,344 376,672 188,336 94,168 47,084 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220

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