7,309,844

2² × 463 × 3947

Starting at 7,309,844, the Collatz iteration reaches 1 after 67 steps. The first transition is 3654922; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 463 × 3947

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,823,104

Proper Divisor Sum 5,513,260

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #7309843 ← → #7309859

Radix Representation

Decimal	7309844
Binary	11011111000101000010100 (23 bits)
Octal	0o33705024
Hexadecimal	0x6F8A14

Divisor Catalog (12)

1 2 4 463 926 1,852 3,947 7,894 15,788 1,827,461 3,654,922 7,309,844

Collatz Trajectory (67 steps to reach 1)

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

7,309,844 3,654,922 1,827,461 5,482,384 2,741,192 1,370,596 685,298 342,649 1,027,948 513,974 256,987 770,962 385,481 1,156,444 578,222 289,111 867,334 433,667 1,301,002 650,501 1,951,504 975,752 487,876 243,938 121,969 365,908 182,954 91,477 274,432 137,216 68,608 34,304 17,152 8,576 4,288 2,144 1,072 536 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40

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