1,165,302

2 × 3² × 41 × 1579

Starting at 1,165,302, the Collatz iteration reaches 1 after 116 steps. The first transition is 582651; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 41 × 1579

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 2,588,040

Proper Divisor Sum 1,422,738

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1165301 ← → #1165303

Radix Representation

Decimal	1165302
Binary	100011100011111110110 (21 bits)
Octal	0o4343766
Hexadecimal	0x11C7F6

Divisor Catalog (24)

Collatz Trajectory (116 steps to reach 1)

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

1,165,302 582,651 1,747,954 873,977 2,621,932 1,310,966 655,483 1,966,450 983,225 2,949,676 1,474,838 737,419 2,212,258 1,106,129 3,318,388 1,659,194 829,597 2,488,792 1,244,396 622,198 311,099 933,298 466,649 1,399,948 699,974 349,987 1,049,962 524,981 1,574,944 787,472 393,736 196,868 98,434 49,217 147,652 73,826 36,913 110,740 55,370 27,685 83,056 41,528 20,764 10,382 5,191 15,574 7,787 23,362 11,681 35,044 17,522 8,761 26,284 13,142 6,571 19,714 9,857 29,572 14,786 7,393

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