9,867,976

2³ × 1233497

Starting at 9,867,976, the Collatz iteration reaches 1 after 88 steps. The first transition is 4933988; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 1233497

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 18,502,470

Proper Divisor Sum 8,634,494

Digit Sum / Digital Root 52 (Root: 7)

Adjacent Primes #9867971 ← → #9868009

Radix Representation

Decimal	9867976
Binary	100101101001001011001000 (24 bits)
Octal	0o45511310
Hexadecimal	0x9692C8

Divisor Catalog (8)

1 2 4 8 1,233,497 2,466,994 4,933,988 9,867,976

Collatz Trajectory (88 steps to reach 1)

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

9,867,976 4,933,988 2,466,994 1,233,497 3,700,492 1,850,246 925,123 2,775,370 1,387,685 4,163,056 2,081,528 1,040,764 520,382 260,191 780,574 390,287 1,170,862 585,431 1,756,294 878,147 2,634,442 1,317,221 3,951,664 1,975,832 987,916 493,958 246,979 740,938 370,469 1,111,408 555,704 277,852 138,926 69,463 208,390 104,195 312,586 156,293 468,880 234,440 117,220 58,610 29,305 87,916 43,958 21,979 65,938 32,969 98,908 49,454 24,727 74,182 37,091 111,274 55,637 166,912 83,456 41,728 20,864 10,432

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