806,546

2 × 13 × 67 × 463

806,546 factors as 2 × 13 × 67 × 463. Its 16 positive divisors give a proper-divisor sum of 518,638, so this integer is deficient. The Collatz stopping time is 74 steps.

Prime Factor Structure

Factorization String 2 × 13 × 67 × 463

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,325,184

Proper Divisor Sum 518,638

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #806543 ← → #806549

Radix Representation

Decimal	806546
Binary	11000100111010010010 (20 bits)
Octal	0o3047222
Hexadecimal	0xC4E92

Divisor Catalog (16)

1 2 13 26 67 134 463 871 926 1,742 6,019 12,038 31,021 62,042 403,273 806,546

Collatz Trajectory (74 steps to reach 1)

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

806,546 403,273 1,209,820 604,910 302,455 907,366 453,683 1,361,050 680,525 2,041,576 1,020,788 510,394 255,197 765,592 382,796 191,398 95,699 287,098 143,549 430,648 215,324 107,662 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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