509,515

5 × 181 × 563

509,515 is odd and not a perfect square. Its factorization is 5 × 181 × 563 and its 8 divisors sum to 615,888.

Prime Factor Structure

Factorization String 5 × 181 × 563

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 615,888

Proper Divisor Sum 106,373

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #509513 ← → #509521

Radix Representation

Decimal	509515
Binary	1111100011001001011 (19 bits)
Octal	0o1743113
Hexadecimal	0x7C64B

Divisor Catalog (8)

1 5 181 563 905 2,815 101,903 509,515

Collatz Trajectory (102 steps to reach 1)

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

509,515 1,528,546 764,273 2,292,820 1,146,410 573,205 1,719,616 859,808 429,904 214,952 107,476 53,738 26,869 80,608 40,304 20,152 10,076 5,038 2,519 7,558 3,779 11,338 5,669 17,008 8,504 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040 2,020 1,010 505 1,516 758 379 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542

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