λ
Integer Codex

1,222,196

22 × 61 × 5009
Deficient Even Composite

For 1,222,196, the 12 positive divisors have a total of 2,174,340. Removing 1,222,196 leaves 952,144, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^2 × 61 × 5009
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,174,340
Proper Divisor Sum 952,144
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1222187 ← → #1222219

Radix Representation

Decimal 1222196
Binary 100101010011000110100 (21 bits)
Octal 0o4523064
Hexadecimal 0x12A634

Divisor Catalog (12)

1 2 4 61 122 244 5,009 10,018 20,036 305,549 611,098 1,222,196

Collatz Trajectory (142 steps to reach 1)

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

1,222,196 611,098 305,549 916,648 458,324 229,162 114,581 343,744 171,872 85,936 42,968 21,484 10,742 5,371 16,114 8,057 24,172 12,086 6,043 18,130 9,065 27,196 13,598 6,799 20,398 10,199 30,598 15,299 45,898 22,949 68,848 34,424 17,212 8,606 4,303 12,910 6,455 19,366 9,683 29,050 14,525 43,576 21,788 10,894 5,447 16,342 8,171 24,514 12,257 36,772 18,386 9,193 27,580 13,790 6,895 20,686 10,343 31,030 15,515 46,546

More profiles

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