520,450

2 × 5² × 7 × 1487

Starting at 520,450, the Collatz iteration reaches 1 after 133 steps. The first transition is 260225; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 1487

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,107,072

Proper Divisor Sum 586,622

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #520447 ← → #520451

Radix Representation

Decimal	520450
Binary	1111111000100000010 (19 bits)
Octal	0o1770402
Hexadecimal	0x7F102

Divisor Catalog (24)

1 2 5 7 10 14 25 35 50 70 175 350 1,487 2,974 7,435 10,409 14,870 20,818 37,175 52,045 74,350 104,090 260,225 520,450

Collatz Trajectory (133 steps to reach 1)

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

520,450 260,225 780,676 390,338 195,169 585,508 292,754 146,377 439,132 219,566 109,783 329,350 164,675 494,026 247,013 741,040 370,520 185,260 92,630 46,315 138,946 69,473 208,420 104,210 52,105 156,316 78,158 39,079 117,238 58,619 175,858 87,929 263,788 131,894 65,947 197,842 98,921 296,764 148,382 74,191 222,574 111,287 333,862 166,931 500,794 250,397 751,192 375,596 187,798 93,899 281,698 140,849 422,548 211,274 105,637 316,912 158,456 79,228 39,614 19,807

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