8,397,045

3² × 5 × 186601

Starting at 8,397,045, the Collatz iteration reaches 1 after 137 steps. The first transition is 25191136; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 186601

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 14,554,956

Proper Divisor Sum 6,157,911

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8397041 ← → #8397073

Radix Representation

Decimal	8397045
Binary	100000000010000011110101 (24 bits)
Octal	0o40020365
Hexadecimal	0x8020F5

Divisor Catalog (12)

1 3 5 9 15 45 186,601 559,803 933,005 1,679,409 2,799,015 8,397,045

Collatz Trajectory (137 steps to reach 1)

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

8,397,045 25,191,136 12,595,568 6,297,784 3,148,892 1,574,446 787,223 2,361,670 1,180,835 3,542,506 1,771,253 5,313,760 2,656,880 1,328,440 664,220 332,110 166,055 498,166 249,083 747,250 373,625 1,120,876 560,438 280,219 840,658 420,329 1,260,988 630,494 315,247 945,742 472,871 1,418,614 709,307 2,127,922 1,063,961 3,191,884 1,595,942 797,971 2,393,914 1,196,957 3,590,872 1,795,436 897,718 448,859 1,346,578 673,289 2,019,868 1,009,934 504,967 1,514,902 757,451 2,272,354 1,136,177 3,408,532 1,704,266 852,133 2,556,400 1,278,200 639,100 319,550

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