λ
Sigma Notebook

7,840,203

3 × 7 × 373343
Deficient Odd Composite

7,840,203 is odd and not a perfect square. Its factorization is 3 × 7 × 373343 and its 8 divisors sum to 11,947,008.

Prime Factor Structure

Factorization String 3 × 7 × 373343
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,947,008
Proper Divisor Sum 4,106,805
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7840199 ← → #7840207

Radix Representation

Decimal 7840203
Binary 11101111010000111001011 (23 bits)
Octal 0o35720713
Hexadecimal 0x77A1CB

Divisor Catalog (8)

1 3 7 21 373,343 1,120,029 2,613,401 7,840,203

Collatz Trajectory (173 steps to reach 1)

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

7,840,203 23,520,610 11,760,305 35,280,916 17,640,458 8,820,229 26,460,688 13,230,344 6,615,172 3,307,586 1,653,793 4,961,380 2,480,690 1,240,345 3,721,036 1,860,518 930,259 2,790,778 1,395,389 4,186,168 2,093,084 1,046,542 523,271 1,569,814 784,907 2,354,722 1,177,361 3,532,084 1,766,042 883,021 2,649,064 1,324,532 662,266 331,133 993,400 496,700 248,350 124,175 372,526 186,263 558,790 279,395 838,186 419,093 1,257,280 628,640 314,320 157,160 78,580 39,290 19,645 58,936 29,468 14,734 7,367 22,102 11,051 33,154 16,577 49,732

More profiles

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