4,218,409

13² × 109 × 229

4,218,409 is odd and not a perfect square. Its factorization is 13^2 × 109 × 229 and its 12 divisors sum to 4,629,900.

Prime Factor Structure

Factorization String 13^2 × 109 × 229

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,629,900

Proper Divisor Sum 411,491

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #4218377 ← → #4218413

Radix Representation

Decimal	4218409
Binary	10000000101111000101001 (23 bits)
Octal	0o20057051
Hexadecimal	0x405E29

Divisor Catalog (12)

1 13 109 169 229 1,417 2,977 18,421 24,961 38,701 324,493 4,218,409

Collatz Trajectory (180 steps to reach 1)

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

4,218,409 12,655,228 6,327,614 3,163,807 9,491,422 4,745,711 14,237,134 7,118,567 21,355,702 10,677,851 32,033,554 16,016,777 48,050,332 24,025,166 12,012,583 36,037,750 18,018,875 54,056,626 27,028,313 81,084,940 40,542,470 20,271,235 60,813,706 30,406,853 91,220,560 45,610,280 22,805,140 11,402,570 5,701,285 17,103,856 8,551,928 4,275,964 2,137,982 1,068,991 3,206,974 1,603,487 4,810,462 2,405,231 7,215,694 3,607,847 10,823,542 5,411,771 16,235,314 8,117,657 24,352,972 12,176,486 6,088,243 18,264,730 9,132,365 27,397,096 13,698,548 6,849,274 3,424,637 10,273,912 5,136,956 2,568,478 1,284,239 3,852,718 1,926,359 5,779,078

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