6,958,828

2² × 197 × 8831

6,958,828 factors as 2^2 × 197 × 8831. Its 12 positive divisors give a proper-divisor sum of 5,282,324, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2^2 × 197 × 8831

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,241,152

Proper Divisor Sum 5,282,324

Digit Sum / Digital Root 46 (Root: 1)

Adjacent Primes #6958823 ← → #6958829

Radix Representation

Decimal	6958828
Binary	11010100010111011101100 (23 bits)
Octal	0o32427354
Hexadecimal	0x6A2EEC

Divisor Catalog (12)

1 2 4 197 394 788 8,831 17,662 35,324 1,739,707 3,479,414 6,958,828

Collatz Trajectory (191 steps to reach 1)

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

6,958,828 3,479,414 1,739,707 5,219,122 2,609,561 7,828,684 3,914,342 1,957,171 5,871,514 2,935,757 8,807,272 4,403,636 2,201,818 1,100,909 3,302,728 1,651,364 825,682 412,841 1,238,524 619,262 309,631 928,894 464,447 1,393,342 696,671 2,090,014 1,045,007 3,135,022 1,567,511 4,702,534 2,351,267 7,053,802 3,526,901 10,580,704 5,290,352 2,645,176 1,322,588 661,294 330,647 991,942 495,971 1,487,914 743,957 2,231,872 1,115,936 557,968 278,984 139,492 69,746 34,873 104,620 52,310 26,155 78,466 39,233 117,700 58,850 29,425 88,276 44,138

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