3,300,401

13² × 59 × 331

3,300,401 has digital root 2. The neighboring primes are 3300389 and 3300413; its proper-divisor sum differs from the starting integer by -2,955,442.

Prime Factor Structure

Factorization String 13^2 × 59 × 331

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,645,360

Proper Divisor Sum 344,959

Digit Sum / Digital Root 11 (Root: 2)

Adjacent Primes #3300389 ← → #3300413

Radix Representation

Decimal	3300401
Binary	1100100101110000110001 (22 bits)
Octal	0o14456061
Hexadecimal	0x325C31

Divisor Catalog (12)

1 13 59 169 331 767 4,303 9,971 19,529 55,939 253,877 3,300,401

Collatz Trajectory (177 steps to reach 1)

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

3,300,401 9,901,204 4,950,602 2,475,301 7,425,904 3,712,952 1,856,476 928,238 464,119 1,392,358 696,179 2,088,538 1,044,269 3,132,808 1,566,404 783,202 391,601 1,174,804 587,402 293,701 881,104 440,552 220,276 110,138 55,069 165,208 82,604 41,302 20,651 61,954 30,977 92,932 46,466 23,233 69,700 34,850 17,425 52,276 26,138 13,069 39,208 19,604 9,802 4,901 14,704 7,352 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97

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