9,108,976

2⁴ × 47 × 12113

Starting at 9,108,976, the Collatz iteration reaches 1 after 132 steps. The first transition is 4554488; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 47 × 12113

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 18,025,632

Proper Divisor Sum 8,916,656

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #9108973 ← → #9108977

Radix Representation

Decimal	9108976
Binary	100010101111110111110000 (24 bits)
Octal	0o42576760
Hexadecimal	0x8AFDF0

Divisor Catalog (20)

1 2 4 8 16 47 94 188 376 752 12,113 24,226 48,452 96,904 193,808 569,311 1,138,622 2,277,244 4,554,488 9,108,976

Collatz Trajectory (132 steps to reach 1)

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

9,108,976 4,554,488 2,277,244 1,138,622 569,311 1,707,934 853,967 2,561,902 1,280,951 3,842,854 1,921,427 5,764,282 2,882,141 8,646,424 4,323,212 2,161,606 1,080,803 3,242,410 1,621,205 4,863,616 2,431,808 1,215,904 607,952 303,976 151,988 75,994 37,997 113,992 56,996 28,498 14,249 42,748 21,374 10,687 32,062 16,031 48,094 24,047 72,142 36,071 108,214 54,107 162,322 81,161 243,484 121,742 60,871 182,614 91,307 273,922 136,961 410,884 205,442 102,721 308,164 154,082 77,041 231,124 115,562 57,781

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