3,904,425

3² × 5² × 7 × 37 × 67

3,904,425 is odd and not a perfect square. Its factorization is 3^2 × 5^2 × 7 × 37 × 67 and its 72 divisors sum to 8,330,816.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 7 × 37 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 8,330,816

Proper Divisor Sum 4,426,391

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3904409 ← → #3904447

Radix Representation

Decimal	3904425
Binary	1110111001001110101001 (22 bits)
Octal	0o16711651
Hexadecimal	0x3B93A9

Divisor Catalog (60 of 72)

1 3 5 7 9 15 21 25 35 37 45 63 67 75 105 111 175 185 201 225 259 315 333 335 469 525 555 603 777 925 1,005 1,295 1,407 1,575 1,665 1,675 2,331 2,345 2,479 2,775 3,015 3,885 4,221 5,025 6,475 7,035 7,437 8,325 11,655 11,725 12,395 15,075 17,353 19,425 21,105 22,311 35,175 37,185 52,059 58,275

Collatz Trajectory (185 steps to reach 1)

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

3,904,425 11,713,276 5,856,638 2,928,319 8,784,958 4,392,479 13,177,438 6,588,719 19,766,158 9,883,079 29,649,238 14,824,619 44,473,858 22,236,929 66,710,788 33,355,394 16,677,697 50,033,092 25,016,546 12,508,273 37,524,820 18,762,410 9,381,205 28,143,616 14,071,808 7,035,904 3,517,952 1,758,976 879,488 439,744 219,872 109,936 54,968 27,484 13,742 6,871 20,614 10,307 30,922 15,461 46,384 23,192 11,596 5,798 2,899 8,698 4,349 13,048 6,524 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784

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