λ
Math Directory

9,268,810

2 × 5 × 73 × 12697
Deficient Even Composite

9,268,810 factors as 2 × 5 × 73 × 12697. Its 16 positive divisors give a proper-divisor sum of 7,644,926, so this integer is deficient. The Collatz stopping time is 194 steps.

Prime Factor Structure

Factorization String 2 × 5 × 73 × 12697
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,913,736
Proper Divisor Sum 7,644,926
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #9268741 ← → #9268811

Radix Representation

Decimal 9268810
Binary 100011010110111001001010 (24 bits)
Octal 0o43267112
Hexadecimal 0x8D6E4A

Divisor Catalog (16)

1 2 5 10 73 146 365 730 12,697 25,394 63,485 126,970 926,881 1,853,762 4,634,405 9,268,810

Collatz Trajectory (194 steps to reach 1)

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

9,268,810 4,634,405 13,903,216 6,951,608 3,475,804 1,737,902 868,951 2,606,854 1,303,427 3,910,282 1,955,141 5,865,424 2,932,712 1,466,356 733,178 366,589 1,099,768 549,884 274,942 137,471 412,414 206,207 618,622 309,311 927,934 463,967 1,391,902 695,951 2,087,854 1,043,927 3,131,782 1,565,891 4,697,674 2,348,837 7,046,512 3,523,256 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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