6,931,076

2² × 103 × 16823

6,931,076 factors as 2^2 × 103 × 16823. Its 12 positive divisors give a proper-divisor sum of 5,316,796, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 2^2 × 103 × 16823

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,247,872

Proper Divisor Sum 5,316,796

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6931069 ← → #6931097

Radix Representation

Decimal	6931076
Binary	11010011100001010000100 (23 bits)
Octal	0o32341204
Hexadecimal	0x69C284

Divisor Catalog (12)

1 2 4 103 206 412 16,823 33,646 67,292 1,732,769 3,465,538 6,931,076

Collatz Trajectory (160 steps to reach 1)

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

6,931,076 3,465,538 1,732,769 5,198,308 2,599,154 1,299,577 3,898,732 1,949,366 974,683 2,924,050 1,462,025 4,386,076 2,193,038 1,096,519 3,289,558 1,644,779 4,934,338 2,467,169 7,401,508 3,700,754 1,850,377 5,551,132 2,775,566 1,387,783 4,163,350 2,081,675 6,245,026 3,122,513 9,367,540 4,683,770 2,341,885 7,025,656 3,512,828 1,756,414 878,207 2,634,622 1,317,311 3,951,934 1,975,967 5,927,902 2,963,951 8,891,854 4,445,927 13,337,782 6,668,891 20,006,674 10,003,337 30,010,012 15,005,006 7,502,503 22,507,510 11,253,755 33,761,266 16,880,633 50,641,900 25,320,950 12,660,475 37,981,426 18,990,713 56,972,140

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