9,967,876

2² × 397 × 6277

Starting at 9,967,876, the Collatz iteration reaches 1 after 137 steps. The first transition is 4983938; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 397 × 6277

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 17,490,508

Proper Divisor Sum 7,522,632

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #9967823 ← → #9967883

Radix Representation

Decimal	9967876
Binary	100110000001100100000100 (24 bits)
Octal	0o46014404
Hexadecimal	0x981904

Divisor Catalog (12)

1 2 4 397 794 1,588 6,277 12,554 25,108 2,491,969 4,983,938 9,967,876

Collatz Trajectory (137 steps to reach 1)

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

9,967,876 4,983,938 2,491,969 7,475,908 3,737,954 1,868,977 5,606,932 2,803,466 1,401,733 4,205,200 2,102,600 1,051,300 525,650 262,825 788,476 394,238 197,119 591,358 295,679 887,038 443,519 1,330,558 665,279 1,995,838 997,919 2,993,758 1,496,879 4,490,638 2,245,319 6,735,958 3,367,979 10,103,938 5,051,969 15,155,908 7,577,954 3,788,977 11,366,932 5,683,466 2,841,733 8,525,200 4,262,600 2,131,300 1,065,650 532,825 1,598,476 799,238 399,619 1,198,858 599,429 1,798,288 899,144 449,572 224,786 112,393 337,180 168,590 84,295 252,886 126,443 379,330

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