513,686

2 × 101 × 2543

513,686 factors as 2 × 101 × 2543. Its 8 positive divisors give a proper-divisor sum of 264,778, so this integer is deficient. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2 × 101 × 2543

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 778,464

Proper Divisor Sum 264,778

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #513683 ← → #513691

Radix Representation

Decimal	513686
Binary	1111101011010010110 (19 bits)
Octal	0o1753226
Hexadecimal	0x7D696

Divisor Catalog (8)

1 2 101 202 2,543 5,086 256,843 513,686

Collatz Trajectory (195 steps to reach 1)

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

513,686 256,843 770,530 385,265 1,155,796 577,898 288,949 866,848 433,424 216,712 108,356 54,178 27,089 81,268 40,634 20,317 60,952 30,476 15,238 7,619 22,858 11,429 34,288 17,144 8,572 4,286 2,143 6,430 3,215 9,646 4,823 14,470 7,235 21,706 10,853 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266

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