806,532

2² × 3 × 67211

806,532 factors as 2^2 × 3 × 67211. Its 12 positive divisors give a proper-divisor sum of 1,075,404, so this integer is abundant. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 67211

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,881,936

Proper Divisor Sum 1,075,404

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #806521 ← → #806543

Radix Representation

Decimal	806532
Binary	11000100111010000100 (20 bits)
Octal	0o3047204
Hexadecimal	0xC4E84

Divisor Catalog (12)

1 2 3 4 6 12 67,211 134,422 201,633 268,844 403,266 806,532

Collatz Trajectory (74 steps to reach 1)

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

806,532 403,266 201,633 604,900 302,450 151,225 453,676 226,838 113,419 340,258 170,129 510,388 255,194 127,597 382,792 191,396 95,698 47,849 143,548 71,774 35,887 107,662 53,831 161,494 80,747 242,242 121,121 363,364 181,682 90,841 272,524 136,262 68,131 204,394 102,197 306,592 153,296 76,648 38,324 19,162 9,581 28,744 14,372 7,186 3,593 10,780 5,390 2,695 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853

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