851,211

3² × 271 × 349

Starting at 851,211, the Collatz iteration reaches 1 after 82 steps. The first transition is 2553634; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 271 × 349

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,237,600

Proper Divisor Sum 386,389

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #851209 ← → #851231

Radix Representation

Decimal	851211
Binary	11001111110100001011 (20 bits)
Octal	0o3176413
Hexadecimal	0xCFD0B

Divisor Catalog (12)

1 3 9 271 349 813 1,047 2,439 3,141 94,579 283,737 851,211

Collatz Trajectory (82 steps to reach 1)

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

851,211 2,553,634 1,276,817 3,830,452 1,915,226 957,613 2,872,840 1,436,420 718,210 359,105 1,077,316 538,658 269,329 807,988 403,994 201,997 605,992 302,996 151,498 75,749 227,248 113,624 56,812 28,406 14,203 42,610 21,305 63,916 31,958 15,979 47,938 23,969 71,908 35,954 17,977 53,932 26,966 13,483 40,450 20,225 60,676 30,338 15,169 45,508 22,754 11,377 34,132 17,066 8,533 25,600 12,800 6,400 3,200 1,600 800 400 200 100 50 25

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