836,388

2² × 3² × 7 × 3319

836,388 has the prime decomposition 2^2 × 3^2 × 7 × 3319. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 7 × 3319

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 2,416,960

Proper Divisor Sum 1,580,572

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #836387 ← → #836413

Radix Representation

Decimal	836388
Binary	11001100001100100100 (20 bits)
Octal	0o3141444
Hexadecimal	0xCC324

Divisor Catalog (36)

1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 3,319 6,638 9,957 13,276 19,914 23,233 29,871 39,828 46,466 59,742 69,699 92,932 119,484 139,398 209,097 278,796 418,194 836,388

Collatz Trajectory (113 steps to reach 1)

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

836,388 418,194 209,097 627,292 313,646 156,823 470,470 235,235 705,706 352,853 1,058,560 529,280 264,640 132,320 66,160 33,080 16,540 8,270 4,135 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314 1,657 4,972 2,486 1,243 3,730 1,865 5,596 2,798 1,399 4,198 2,099 6,298 3,149 9,448 4,724 2,362 1,181 3,544 1,772 886

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