8,266,450

2 × 5² × 29 × 5701

Starting at 8,266,450, the Collatz iteration reaches 1 after 54 steps. The first transition is 4133225; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^2 × 29 × 5701

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,908,580

Proper Divisor Sum 7,642,130

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8266439 ← → #8266457

Radix Representation

Decimal	8266450
Binary	11111100010001011010010 (23 bits)
Octal	0o37421322
Hexadecimal	0x7E22D2

Divisor Catalog (24)

1 2 5 10 25 29 50 58 145 290 725 1,450 5,701 11,402 28,505 57,010 142,525 165,329 285,050 330,658 826,645 1,653,290 4,133,225 8,266,450

Collatz Trajectory (54 steps to reach 1)

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

8,266,450 4,133,225 12,399,676 6,199,838 3,099,919 9,299,758 4,649,879 13,949,638 6,974,819 20,924,458 10,462,229 31,386,688 15,693,344 7,846,672 3,923,336 1,961,668 980,834 490,417 1,471,252 735,626 367,813 1,103,440 551,720 275,860 137,930 68,965 206,896 103,448 51,724 25,862 12,931 38,794 19,397 58,192 29,096 14,548 7,274 3,637 10,912 5,456 2,728 1,364 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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