513,285

3 × 5 × 19 × 1801

513,285 factors as 3 × 5 × 19 × 1801. Its 16 positive divisors give a proper-divisor sum of 351,675, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 3 × 5 × 19 × 1801

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 864,960

Proper Divisor Sum 351,675

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #513283 ← → #513307

Radix Representation

Decimal	513285
Binary	1111101010100000101 (19 bits)
Octal	0o1752405
Hexadecimal	0x7D505

Divisor Catalog (16)

1 3 5 15 19 57 95 285 1,801 5,403 9,005 27,015 34,219 102,657 171,095 513,285

Collatz Trajectory (164 steps to reach 1)

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

513,285 1,539,856 769,928 384,964 192,482 96,241 288,724 144,362 72,181 216,544 108,272 54,136 27,068 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148 4,574 2,287 6,862 3,431 10,294 5,147 15,442 7,721 23,164 11,582 5,791 17,374 8,687 26,062 13,031 39,094 19,547

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