λ
Sigma Notebook

6,937,975

52 × 11 × 25229
Deficient Odd Composite

6,937,975 is odd and not a perfect square. Its factorization is 5^2 × 11 × 25229 and its 12 divisors sum to 9,385,560.

Prime Factor Structure

Factorization String 5^2 × 11 × 25229
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,385,560
Proper Divisor Sum 2,447,585
Digit Sum / Digital Root 46 (Root: 1)
Adjacent Primes #6937969 ← → #6938003

Radix Representation

Decimal 6937975
Binary 11010011101110101110111 (23 bits)
Octal 0o32356567
Hexadecimal 0x69DD77

Divisor Catalog (12)

1 5 11 25 55 275 25,229 126,145 277,519 630,725 1,387,595 6,937,975

Collatz Trajectory (103 steps to reach 1)

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

6,937,975 20,813,926 10,406,963 31,220,890 15,610,445 46,831,336 23,415,668 11,707,834 5,853,917 17,561,752 8,780,876 4,390,438 2,195,219 6,585,658 3,292,829 9,878,488 4,939,244 2,469,622 1,234,811 3,704,434 1,852,217 5,556,652 2,778,326 1,389,163 4,167,490 2,083,745 6,251,236 3,125,618 1,562,809 4,688,428 2,344,214 1,172,107 3,516,322 1,758,161 5,274,484 2,637,242 1,318,621 3,955,864 1,977,932 988,966 494,483 1,483,450 741,725 2,225,176 1,112,588 556,294 278,147 834,442 417,221 1,251,664 625,832 312,916 156,458 78,229 234,688 117,344 58,672 29,336 14,668 7,334

More profiles

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