λ
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9,268,648

23 × 37 × 173 × 181
Deficient Even Composite

9,268,648 factors as 2^3 × 37 × 173 × 181. Its 32 positive divisors give a proper-divisor sum of 8,782,112, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 173 × 181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,050,760
Proper Divisor Sum 8,782,112
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #9268639 ← → #9268663

Radix Representation

Decimal 9268648
Binary 100011010110110110101000 (24 bits)
Octal 0o43266650
Hexadecimal 0x8D6DA8

Divisor Catalog (32)

1 2 4 8 37 74 148 173 181 296 346 362 692 724 1,384 1,448 6,401 6,697 12,802 13,394 25,604 26,788 31,313 51,208 53,576 62,626 125,252 250,504 1,158,581 2,317,162 4,634,324 9,268,648

Collatz Trajectory (194 steps to reach 1)

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

9,268,648 4,634,324 2,317,162 1,158,581 3,475,744 1,737,872 868,936 434,468 217,234 108,617 325,852 162,926 81,463 244,390 122,195 366,586 183,293 549,880 274,940 137,470 68,735 206,206 103,103 309,310 154,655 463,966 231,983 695,950 347,975 1,043,926 521,963 1,565,890 782,945 2,348,836 1,174,418 587,209 1,761,628 880,814 440,407 1,321,222 660,611 1,981,834 990,917 2,972,752 1,486,376 743,188 371,594 185,797 557,392 278,696 139,348 69,674 34,837 104,512 52,256 26,128 13,064 6,532 3,266 1,633

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