502,517

502517

Starting at 502,517, the Collatz iteration reaches 1 after 89 steps. The first transition is 1507552; the starting value is odd with 2 positive divisors.

Prime Factor Structure

Factorization String 502517

Distinct Prime Factors 1

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 2

Divisor Sum (σ) 502,518

Proper Divisor Sum 1

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #502507 ← → #502543

Radix Representation

Decimal	502517
Binary	1111010101011110101 (19 bits)
Octal	0o1725365
Hexadecimal	0x7AAF5

Divisor Catalog (2)

1 502,517

Collatz Trajectory (89 steps to reach 1)

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

502,517 1,507,552 753,776 376,888 188,444 94,222 47,111 141,334 70,667 212,002 106,001 318,004 159,002 79,501 238,504 119,252 59,626 29,813 89,440 44,720 22,360 11,180 5,590 2,795 8,386 4,193 12,580 6,290 3,145 9,436 4,718 2,359 7,078 3,539 10,618 5,309 15,928 7,964 3,982 1,991 5,974 2,987 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532

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