7,996,971

3 × 97 × 27481

7,996,971 factors as 3 × 97 × 27481. Its 8 positive divisors give a proper-divisor sum of 2,775,973, so this integer is deficient. The Collatz stopping time is 261 steps.

Prime Factor Structure

Factorization String 3 × 97 × 27481

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 10,772,944

Proper Divisor Sum 2,775,973

Digit Sum / Digital Root 48 (Root: 3)

Adjacent Primes #7996969 ← → #7996973

Radix Representation

Decimal	7996971
Binary	11110100000011000101011 (23 bits)
Octal	0o36403053
Hexadecimal	0x7A062B

Divisor Catalog (8)

1 3 97 291 27,481 82,443 2,665,657 7,996,971

Collatz Trajectory (261 steps to reach 1)

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

7,996,971 23,990,914 11,995,457 35,986,372 17,993,186 8,996,593 26,989,780 13,494,890 6,747,445 20,242,336 10,121,168 5,060,584 2,530,292 1,265,146 632,573 1,897,720 948,860 474,430 237,215 711,646 355,823 1,067,470 533,735 1,601,206 800,603 2,401,810 1,200,905 3,602,716 1,801,358 900,679 2,702,038 1,351,019 4,053,058 2,026,529 6,079,588 3,039,794 1,519,897 4,559,692 2,279,846 1,139,923 3,419,770 1,709,885 5,129,656 2,564,828 1,282,414 641,207 1,923,622 961,811 2,885,434 1,442,717 4,328,152 2,164,076 1,082,038 541,019 1,623,058 811,529 2,434,588 1,217,294 608,647 1,825,942

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