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Atlas › Integer Profiles › Node 350,812

350,812

22 × 7 × 11 × 17 × 67
Abundant Even Composite

350,812 factors as 2^2 × 7 × 11 × 17 × 67. Its 48 positive divisors give a proper-divisor sum of 471,716, so this integer is abundant. The Collatz stopping time is 47 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 17 × 67
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 822,528
Proper Divisor Sum 471,716
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #350809 ← → #350843

Radix Representation

Decimal 350812
Binary 1010101101001011100 (19 bits)
Octal 0o1255134
Hexadecimal 0x55A5C

Divisor Catalog (48)

1 2 4 7 11 14 17 22 28 34 44 67 68 77 119 134 154 187 238 268 308 374 469 476 737 748 938 1,139 1,309 1,474 1,876 2,278 2,618 2,948 4,556 5,159 5,236 7,973 10,318 12,529 15,946 20,636 25,058 31,892 50,116 87,703 175,406 350,812

Collatz Trajectory (47 steps to reach 1)

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

350,812 175,406 87,703 263,110 131,555 394,666 197,333 592,000 296,000 148,000 74,000 37,000 18,500 9,250 4,625 13,876 6,938 3,469 10,408 5,204 2,602 1,301 3,904 1,952 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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