λ
Sequence Observatory

7,243,324

22 × 11 × 164621
Deficient Even Composite

Starting at 7,243,324, the Collatz iteration reaches 1 after 160 steps. The first transition is 3621662; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 11 × 164621
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 13,828,248
Proper Divisor Sum 6,584,924
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7243297 ← → #7243339

Radix Representation

Decimal 7243324
Binary 11011101000011000111100 (23 bits)
Octal 0o33503074
Hexadecimal 0x6E863C

Divisor Catalog (12)

1 2 4 11 22 44 164,621 329,242 658,484 1,810,831 3,621,662 7,243,324

Collatz Trajectory (160 steps to reach 1)

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

7,243,324 3,621,662 1,810,831 5,432,494 2,716,247 8,148,742 4,074,371 12,223,114 6,111,557 18,334,672 9,167,336 4,583,668 2,291,834 1,145,917 3,437,752 1,718,876 859,438 429,719 1,289,158 644,579 1,933,738 966,869 2,900,608 1,450,304 725,152 362,576 181,288 90,644 45,322 22,661 67,984 33,992 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142 71 214

More profiles

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