λ
Sigma Notebook

6,894,307

7 × 31 × 31771
Deficient Odd Composite

6,894,307 is odd and not a perfect square. Its factorization is 7 × 31 × 31771 and its 8 divisors sum to 8,133,632.

Prime Factor Structure

Factorization String 7 × 31 × 31771
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,133,632
Proper Divisor Sum 1,239,325
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #6894301 ← → #6894317

Radix Representation

Decimal 6894307
Binary 11010010011001011100011 (23 bits)
Octal 0o32231343
Hexadecimal 0x6932E3

Divisor Catalog (8)

1 7 31 217 31,771 222,397 984,901 6,894,307

Collatz Trajectory (98 steps to reach 1)

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

6,894,307 20,682,922 10,341,461 31,024,384 15,512,192 7,756,096 3,878,048 1,939,024 969,512 484,756 242,378 121,189 363,568 181,784 90,892 45,446 22,723 68,170 34,085 102,256 51,128 25,564 12,782 6,391 19,174 9,587 28,762 14,381 43,144 21,572 10,786 5,393 16,180 8,090 4,045 12,136 6,068 3,034 1,517 4,552 2,276 1,138 569 1,708 854 427 1,282 641 1,924 962 481 1,444 722 361 1,084 542 271 814 407 1,222

More profiles

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