520,924

2² × 31 × 4201

Starting at 520,924, the Collatz iteration reaches 1 after 164 steps. The first transition is 260462; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 31 × 4201

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 941,248

Proper Divisor Sum 420,324

Digit Sum / Digital Root 22 (Root: 4)

Adjacent Primes #520921 ← → #520943

Radix Representation

Decimal	520924
Binary	1111111001011011100 (19 bits)
Octal	0o1771334
Hexadecimal	0x7F2DC

Divisor Catalog (12)

1 2 4 31 62 124 4,201 8,402 16,804 130,231 260,462 520,924

Collatz Trajectory (164 steps to reach 1)

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

520,924 260,462 130,231 390,694 195,347 586,042 293,021 879,064 439,532 219,766 109,883 329,650 164,825 494,476 247,238 123,619 370,858 185,429 556,288 278,144 139,072 69,536 34,768 17,384 8,692 4,346 2,173 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94

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