1,500,586

2 × 31 × 24203

Starting at 1,500,586, the Collatz iteration reaches 1 after 137 steps. The first transition is 750293; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 31 × 24203

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 2,323,584

Proper Divisor Sum 822,998

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #1500533 ← → #1500593

Radix Representation

Decimal	1500586
Binary	101101110010110101010 (21 bits)
Octal	0o5562652
Hexadecimal	0x16E5AA

Divisor Catalog (8)

1 2 31 62 24,203 48,406 750,293 1,500,586

Collatz Trajectory (137 steps to reach 1)

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

1,500,586 750,293 2,250,880 1,125,440 562,720 281,360 140,680 70,340 35,170 17,585 52,756 26,378 13,189 39,568 19,784 9,892 4,946 2,473 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 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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