λ
Sequence Observatory

7,289,361

32 × 809929
Deficient Odd Composite

Starting at 7,289,361, the Collatz iteration reaches 1 after 59 steps. The first transition is 21868084; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 809929
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 10,529,090
Proper Divisor Sum 3,239,729
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7289341 ← → #7289363

Radix Representation

Decimal 7289361
Binary 11011110011101000010001 (23 bits)
Octal 0o33635021
Hexadecimal 0x6F3A11

Divisor Catalog (6)

1 3 9 809,929 2,429,787 7,289,361

Collatz Trajectory (59 steps to reach 1)

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

7,289,361 21,868,084 10,934,042 5,467,021 16,401,064 8,200,532 4,100,266 2,050,133 6,150,400 3,075,200 1,537,600 768,800 384,400 192,200 96,100 48,050 24,025 72,076 36,038 18,019 54,058 27,029 81,088 40,544 20,272 10,136 5,068 2,534 1,267 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

More profiles

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