510,506

2 × 255253

Starting at 510,506, the Collatz iteration reaches 1 after 58 steps. The first transition is 255253; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 255253

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 765,762

Proper Divisor Sum 255,256

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #510481 ← → #510529

Radix Representation

Decimal	510506
Binary	1111100101000101010 (19 bits)
Octal	0o1745052
Hexadecimal	0x7CA2A

Divisor Catalog (4)

1 2 255,253 510,506

Collatz Trajectory (58 steps to reach 1)

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

510,506 255,253 765,760 382,880 191,440 95,720 47,860 23,930 11,965 35,896 17,948 8,974 4,487 13,462 6,731 20,194 10,097 30,292 15,146 7,573 22,720 11,360 5,680 2,840 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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