λ
Sigma Notebook

9,321,305

5 × 7 × 19 × 107 × 131
Deficient Odd Composite

9,321,305 is odd and not a perfect square. Its factorization is 5 × 7 × 19 × 107 × 131 and its 32 divisors sum to 13,685,760.

Prime Factor Structure

Factorization String 5 × 7 × 19 × 107 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,685,760
Proper Divisor Sum 4,364,455
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #9321283 ← → #9321307

Radix Representation

Decimal 9321305
Binary 100011100011101101011001 (24 bits)
Octal 0o43435531
Hexadecimal 0x8E3B59

Divisor Catalog (32)

1 5 7 19 35 95 107 131 133 535 655 665 749 917 2,033 2,489 3,745 4,585 10,165 12,445 14,017 14,231 17,423 70,085 71,155 87,115 98,119 266,323 490,595 1,331,615 1,864,261 9,321,305

Collatz Trajectory (269 steps to reach 1)

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

9,321,305 27,963,916 13,981,958 6,990,979 20,972,938 10,486,469 31,459,408 15,729,704 7,864,852 3,932,426 1,966,213 5,898,640 2,949,320 1,474,660 737,330 368,665 1,105,996 552,998 276,499 829,498 414,749 1,244,248 622,124 311,062 155,531 466,594 233,297 699,892 349,946 174,973 524,920 262,460 131,230 65,615 196,846 98,423 295,270 147,635 442,906 221,453 664,360 332,180 166,090 83,045 249,136 124,568 62,284 31,142 15,571 46,714 23,357 70,072 35,036 17,518 8,759 26,278 13,139 39,418 19,709 59,128

More profiles

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