λ
Sequence Observatory
Atlas › Integer Profiles › Node 1,822,221

1,822,221

32 × 23 × 8803
Deficient Odd Composite

Starting at 1,822,221, the Collatz iteration reaches 1 after 57 steps. The first transition is 5466664; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 23 × 8803
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,746,848
Proper Divisor Sum 924,627
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1822217 ← → #1822229

Radix Representation

Decimal 1822221
Binary 110111100111000001101 (21 bits)
Octal 0o6747015
Hexadecimal 0x1BCE0D

Divisor Catalog (12)

1 3 9 23 69 207 8,803 26,409 79,227 202,469 607,407 1,822,221

Collatz Trajectory (57 steps to reach 1)

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

1,822,221 5,466,664 2,733,332 1,366,666 683,333 2,050,000 1,025,000 512,500 256,250 128,125 384,376 192,188 96,094 48,047 144,142 72,071 216,214 108,107 324,322 162,161 486,484 243,242 121,621 364,864 182,432 91,216 45,608 22,804 11,402 5,701 17,104 8,552 4,276 2,138 1,069 3,208 1,604 802 401 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

More profiles

9,287,552 290,373 3,524,706 2,884,027 8,595,648 4,166,331 2,044,826 #97ADC2 #CC6B11 9,899,010 5,022,990 2,507,694 5,942,066 1,601,455 #FE30AD 1,143,959
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