3,422,338

2 × 17² × 31 × 191

3,422,338 is even and not a perfect square. Its factorization is 2 × 17^2 × 31 × 191 and its 24 divisors sum to 5,658,624.

Prime Factor Structure

Factorization String 2 × 17^2 × 31 × 191

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,658,624

Proper Divisor Sum 2,236,286

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3422323 ← → #3422383

Radix Representation

Decimal	3422338
Binary	1101000011100010000010 (22 bits)
Octal	0o15034202
Hexadecimal	0x343882

Divisor Catalog (24)

1 2 17 31 34 62 191 289 382 527 578 1,054 3,247 5,921 6,494 8,959 11,842 17,918 55,199 100,657 110,398 201,314 1,711,169 3,422,338

Collatz Trajectory (133 steps to reach 1)

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

3,422,338 1,711,169 5,133,508 2,566,754 1,283,377 3,850,132 1,925,066 962,533 2,887,600 1,443,800 721,900 360,950 180,475 541,426 270,713 812,140 406,070 203,035 609,106 304,553 913,660 456,830 228,415 685,246 342,623 1,027,870 513,935 1,541,806 770,903 2,312,710 1,156,355 3,469,066 1,734,533 5,203,600 2,601,800 1,300,900 650,450 325,225 975,676 487,838 243,919 731,758 365,879 1,097,638 548,819 1,646,458 823,229 2,469,688 1,234,844 617,422 308,711 926,134 463,067 1,389,202 694,601 2,083,804 1,041,902 520,951 1,562,854 781,427

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