7,312,833

3² × 11 × 73867

Starting at 7,312,833, the Collatz iteration reaches 1 after 85 steps. The first transition is 21938500; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 11 × 73867

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 11,523,408

Proper Divisor Sum 4,210,575

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #7312831 ← → #7312841

Radix Representation

Decimal	7312833
Binary	11011111001010111000001 (23 bits)
Octal	0o33712701
Hexadecimal	0x6F95C1

Divisor Catalog (12)

1 3 9 11 33 99 73,867 221,601 664,803 812,537 2,437,611 7,312,833

Collatz Trajectory (85 steps to reach 1)

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

7,312,833 21,938,500 10,969,250 5,484,625 16,453,876 8,226,938 4,113,469 12,340,408 6,170,204 3,085,102 1,542,551 4,627,654 2,313,827 6,941,482 3,470,741 10,412,224 5,206,112 2,603,056 1,301,528 650,764 325,382 162,691 488,074 244,037 732,112 366,056 183,028 91,514 45,757 137,272 68,636 34,318 17,159 51,478 25,739 77,218 38,609 115,828 57,914 28,957 86,872 43,436 21,718 10,859 32,578 16,289 48,868 24,434 12,217 36,652 18,326 9,163 27,490 13,745 41,236 20,618 10,309 30,928 15,464 7,732

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