λ
Sequence Observatory

6,723,563

7 × 11 × 29 × 3011
Deficient Odd Composite

Starting at 6,723,563, the Collatz iteration reaches 1 after 116 steps. The first transition is 20170690; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 7 × 11 × 29 × 3011
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,674,560
Proper Divisor Sum 1,950,997
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6723539 ← → #6723571

Radix Representation

Decimal 6723563
Binary 11001101001011111101011 (23 bits)
Octal 0o31513753
Hexadecimal 0x6697EB

Divisor Catalog (16)

1 7 11 29 77 203 319 2,233 3,011 21,077 33,121 87,319 231,847 611,233 960,509 6,723,563

Collatz Trajectory (116 steps to reach 1)

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

6,723,563 20,170,690 10,085,345 30,256,036 15,128,018 7,564,009 22,692,028 11,346,014 5,673,007 17,019,022 8,509,511 25,528,534 12,764,267 38,292,802 19,146,401 57,439,204 28,719,602 14,359,801 43,079,404 21,539,702 10,769,851 32,309,554 16,154,777 48,464,332 24,232,166 12,116,083 36,348,250 18,174,125 54,522,376 27,261,188 13,630,594 6,815,297 20,445,892 10,222,946 5,111,473 15,334,420 7,667,210 3,833,605 11,500,816 5,750,408 2,875,204 1,437,602 718,801 2,156,404 1,078,202 539,101 1,617,304 808,652 404,326 202,163 606,490 303,245 909,736 454,868 227,434 113,717 341,152 170,576 85,288 42,644

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