1,500,580

2² × 5 × 75029

Starting at 1,500,580, the Collatz iteration reaches 1 after 137 steps. The first transition is 750290; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 75029

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,151,260

Proper Divisor Sum 1,650,680

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #1500533 ← → #1500593

Radix Representation

Decimal	1500580
Binary	101101110010110100100 (21 bits)
Octal	0o5562644
Hexadecimal	0x16E5A4

Divisor Catalog (12)

1 2 4 5 10 20 75,029 150,058 300,116 375,145 750,290 1,500,580

Collatz Trajectory (137 steps to reach 1)

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

1,500,580 750,290 375,145 1,125,436 562,718 281,359 844,078 422,039 1,266,118 633,059 1,899,178 949,589 2,848,768 1,424,384 712,192 356,096 178,048 89,024 44,512 22,256 11,128 5,564 2,782 1,391 4,174 2,087 6,262 3,131 9,394 4,697 14,092 7,046 3,523 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538

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