λ
Sigma Notebook

6,809,731

412 × 4051
Deficient Odd Composite

6,809,731 is odd and not a perfect square. Its factorization is 41^2 × 4051 and its 6 divisors sum to 6,981,596.

Prime Factor Structure

Factorization String 41^2 × 4051
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 6,981,596
Proper Divisor Sum 171,865
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #6809717 ← → #6809743

Radix Representation

Decimal 6809731
Binary 11001111110100010000011 (23 bits)
Octal 0o31764203
Hexadecimal 0x67E883

Divisor Catalog (6)

1 41 1,681 4,051 166,091 6,809,731

Collatz Trajectory (85 steps to reach 1)

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

6,809,731 20,429,194 10,214,597 30,643,792 15,321,896 7,660,948 3,830,474 1,915,237 5,745,712 2,872,856 1,436,428 718,214 359,107 1,077,322 538,661 1,615,984 807,992 403,996 201,998 100,999 302,998 151,499 454,498 227,249 681,748 340,874 170,437 511,312 255,656 127,828 63,914 31,957 95,872 47,936 23,968 11,984 5,992 2,996 1,498 749 2,248 1,124 562 281 844 422 211 634 317 952 476 238 119 358 179 538 269 808 404 202

More profiles

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