9,182,504

2³ × 443 × 2591

Starting at 9,182,504, the Collatz iteration reaches 1 after 106 steps. The first transition is 4591252; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 443 × 2591

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 17,262,720

Proper Divisor Sum 8,080,216

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #9182449 ← → #9182507

Radix Representation

Decimal	9182504
Binary	100011000001110100101000 (24 bits)
Octal	0o43016450
Hexadecimal	0x8C1D28

Divisor Catalog (16)

1 2 4 8 443 886 1,772 2,591 3,544 5,182 10,364 20,728 1,147,813 2,295,626 4,591,252 9,182,504

Collatz Trajectory (106 steps to reach 1)

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

9,182,504 4,591,252 2,295,626 1,147,813 3,443,440 1,721,720 860,860 430,430 215,215 645,646 322,823 968,470 484,235 1,452,706 726,353 2,179,060 1,089,530 544,765 1,634,296 817,148 408,574 204,287 612,862 306,431 919,294 459,647 1,378,942 689,471 2,068,414 1,034,207 3,102,622 1,551,311 4,653,934 2,326,967 6,980,902 3,490,451 10,471,354 5,235,677 15,707,032 7,853,516 3,926,758 1,963,379 5,890,138 2,945,069 8,835,208 4,417,604 2,208,802 1,104,401 3,313,204 1,656,602 828,301 2,484,904 1,242,452 621,226 310,613 931,840 465,920 232,960 116,480 58,240

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