λ
Sigma Notebook

9,112,209

3 × 23 × 41 × 3221
Deficient Odd Composite

9,112,209 is odd and not a perfect square. Its factorization is 3 × 23 × 41 × 3221 and its 16 divisors sum to 12,991,104.

Prime Factor Structure

Factorization String 3 × 23 × 41 × 3221
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,991,104
Proper Divisor Sum 3,878,895
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #9112193 ← → #9112223

Radix Representation

Decimal 9112209
Binary 100010110000101010010001 (24 bits)
Octal 0o42605221
Hexadecimal 0x8B0A91

Divisor Catalog (16)

1 3 23 41 69 123 943 2,829 3,221 9,663 74,083 132,061 222,249 396,183 3,037,403 9,112,209

Collatz Trajectory (256 steps to reach 1)

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

9,112,209 27,336,628 13,668,314 6,834,157 20,502,472 10,251,236 5,125,618 2,562,809 7,688,428 3,844,214 1,922,107 5,766,322 2,883,161 8,649,484 4,324,742 2,162,371 6,487,114 3,243,557 9,730,672 4,865,336 2,432,668 1,216,334 608,167 1,824,502 912,251 2,736,754 1,368,377 4,105,132 2,052,566 1,026,283 3,078,850 1,539,425 4,618,276 2,309,138 1,154,569 3,463,708 1,731,854 865,927 2,597,782 1,298,891 3,896,674 1,948,337 5,845,012 2,922,506 1,461,253 4,383,760 2,191,880 1,095,940 547,970 273,985 821,956 410,978 205,489 616,468 308,234 154,117 462,352 231,176 115,588 57,794

More profiles

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