λ
Math Directory

9,382,322

2 × 197 × 23813
Deficient Even Composite

9,382,322 factors as 2 × 197 × 23813. Its 8 positive divisors give a proper-divisor sum of 4,763,194, so this integer is deficient. The Collatz stopping time is 106 steps.

Prime Factor Structure

Factorization String 2 × 197 × 23813
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 14,145,516
Proper Divisor Sum 4,763,194
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #9382319 ← → #9382327

Radix Representation

Decimal 9382322
Binary 100011110010100110110010 (24 bits)
Octal 0o43624662
Hexadecimal 0x8F29B2

Divisor Catalog (8)

1 2 197 394 23,813 47,626 4,691,161 9,382,322

Collatz Trajectory (106 steps to reach 1)

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

9,382,322 4,691,161 14,073,484 7,036,742 3,518,371 10,555,114 5,277,557 15,832,672 7,916,336 3,958,168 1,979,084 989,542 494,771 1,484,314 742,157 2,226,472 1,113,236 556,618 278,309 834,928 417,464 208,732 104,366 52,183 156,550 78,275 234,826 117,413 352,240 176,120 88,060 44,030 22,015 66,046 33,023 99,070 49,535 148,606 74,303 222,910 111,455 334,366 167,183 501,550 250,775 752,326 376,163 1,128,490 564,245 1,692,736 846,368 423,184 211,592 105,796 52,898 26,449 79,348 39,674 19,837 59,512

More profiles

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