λ
Sequence Observatory

8,209,251

32 × 883 × 1033
Deficient Odd Composite

Starting at 8,209,251, the Collatz iteration reaches 1 after 54 steps. The first transition is 24627754; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 883 × 1033
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 11,882,728
Proper Divisor Sum 3,673,477
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8209241 ← → #8209261

Radix Representation

Decimal 8209251
Binary 11111010100001101100011 (23 bits)
Octal 0o37241543
Hexadecimal 0x7D4363

Divisor Catalog (12)

1 3 9 883 1,033 2,649 3,099 7,947 9,297 912,139 2,736,417 8,209,251

Collatz Trajectory (54 steps to reach 1)

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

8,209,251 24,627,754 12,313,877 36,941,632 18,470,816 9,235,408 4,617,704 2,308,852 1,154,426 577,213 1,731,640 865,820 432,910 216,455 649,366 324,683 974,050 487,025 1,461,076 730,538 365,269 1,095,808 547,904 273,952 136,976 68,488 34,244 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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