1,584,318

2 × 3 × 264053

Starting at 1,584,318, the Collatz iteration reaches 1 after 101 steps. The first transition is 792159; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 264053

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 3,168,648

Proper Divisor Sum 1,584,330

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #1584311 ← → #1584343

Radix Representation

Decimal	1584318
Binary	110000010110010111110 (21 bits)
Octal	0o6026276
Hexadecimal	0x182CBE

Divisor Catalog (8)

1 2 3 6 264,053 528,106 792,159 1,584,318

Collatz Trajectory (101 steps to reach 1)

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

1,584,318 792,159 2,376,478 1,188,239 3,564,718 1,782,359 5,347,078 2,673,539 8,020,618 4,010,309 12,030,928 6,015,464 3,007,732 1,503,866 751,933 2,255,800 1,127,900 563,950 281,975 845,926 422,963 1,268,890 634,445 1,903,336 951,668 475,834 237,917 713,752 356,876 178,438 89,219 267,658 133,829 401,488 200,744 100,372 50,186 25,093 75,280 37,640 18,820 9,410 4,705 14,116 7,058 3,529 10,588 5,294 2,647 7,942 3,971 11,914 5,957 17,872 8,936 4,468 2,234 1,117 3,352 1,676

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