λ
Sigma Notebook

3,822,223

3822223
Deficient Odd Prime

3,822,223 is odd and not a perfect square. Its factorization is 3822223 and its 2 divisors sum to 3,822,224.

Prime Factor Structure

Factorization String 3822223
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 3,822,224
Proper Divisor Sum 1
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3822191 ← → #3822241

Radix Representation

Decimal 3822223
Binary 1110100101001010001111 (22 bits)
Octal 0o16451217
Hexadecimal 0x3A528F

Divisor Catalog (2)

Collatz Trajectory (247 steps to reach 1)

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

3,822,223 11,466,670 5,733,335 17,200,006 8,600,003 25,800,010 12,900,005 38,700,016 19,350,008 9,675,004 4,837,502 2,418,751 7,256,254 3,628,127 10,884,382 5,442,191 16,326,574 8,163,287 24,489,862 12,244,931 36,734,794 18,367,397 55,102,192 27,551,096 13,775,548 6,887,774 3,443,887 10,331,662 5,165,831 15,497,494 7,748,747 23,246,242 11,623,121 34,869,364 17,434,682 8,717,341 26,152,024 13,076,012 6,538,006 3,269,003 9,807,010 4,903,505 14,710,516 7,355,258 3,677,629 11,032,888 5,516,444 2,758,222 1,379,111 4,137,334 2,068,667 6,206,002 3,103,001 9,309,004 4,654,502 2,327,251 6,981,754 3,490,877 10,472,632 5,236,316

More profiles

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