λ
Sequence Observatory

9,221,891

7 × 1317413
Deficient Odd Composite

Starting at 9,221,891, the Collatz iteration reaches 1 after 256 steps. The first transition is 27665674; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 7 × 1317413
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 10,539,312
Proper Divisor Sum 1,317,421
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #9221879 ← → #9221893

Radix Representation

Decimal 9221891
Binary 100011001011011100000011 (24 bits)
Octal 0o43133403
Hexadecimal 0x8CB703

Divisor Catalog (4)

1 7 1,317,413 9,221,891

Collatz Trajectory (256 steps to reach 1)

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

9,221,891 27,665,674 13,832,837 41,498,512 20,749,256 10,374,628 5,187,314 2,593,657 7,780,972 3,890,486 1,945,243 5,835,730 2,917,865 8,753,596 4,376,798 2,188,399 6,565,198 3,282,599 9,847,798 4,923,899 14,771,698 7,385,849 22,157,548 11,078,774 5,539,387 16,618,162 8,309,081 24,927,244 12,463,622 6,231,811 18,695,434 9,347,717 28,043,152 14,021,576 7,010,788 3,505,394 1,752,697 5,258,092 2,629,046 1,314,523 3,943,570 1,971,785 5,915,356 2,957,678 1,478,839 4,436,518 2,218,259 6,654,778 3,327,389 9,982,168 4,991,084 2,495,542 1,247,771 3,743,314 1,871,657 5,614,972 2,807,486 1,403,743 4,211,230 2,105,615

More profiles

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