λ
Sequence Observatory

9,221,829

3 × 3073943
Deficient Odd Composite

Starting at 9,221,829, the Collatz iteration reaches 1 after 194 steps. The first transition is 27665488; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 3073943
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 12,295,776
Proper Divisor Sum 3,073,947
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #9221819 ← → #9221831

Radix Representation

Decimal 9221829
Binary 100011001011011011000101 (24 bits)
Octal 0o43133305
Hexadecimal 0x8CB6C5

Divisor Catalog (4)

1 3 3,073,943 9,221,829

Collatz Trajectory (194 steps to reach 1)

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

9,221,829 27,665,488 13,832,744 6,916,372 3,458,186 1,729,093 5,187,280 2,593,640 1,296,820 648,410 324,205 972,616 486,308 243,154 121,577 364,732 182,366 91,183 273,550 136,775 410,326 205,163 615,490 307,745 923,236 461,618 230,809 692,428 346,214 173,107 519,322 259,661 778,984 389,492 194,746 97,373 292,120 146,060 73,030 36,515 109,546 54,773 164,320 82,160 41,080 20,540 10,270 5,135 15,406 7,703 23,110 11,555 34,666 17,333 52,000 26,000 13,000 6,500 3,250 1,625

More profiles

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