λ
Sigma Notebook

6,948,197

29 × 263 × 911
Deficient Odd Composite

6,948,197 is odd and not a perfect square. Its factorization is 29 × 263 × 911 and its 8 divisors sum to 7,223,040.

Prime Factor Structure

Factorization String 29 × 263 × 911
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,223,040
Proper Divisor Sum 274,843
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #6948191 ← → #6948203

Radix Representation

Decimal 6948197
Binary 11010100000010101100101 (23 bits)
Octal 0o32402545
Hexadecimal 0x6A0565

Divisor Catalog (8)

1 29 263 911 7,627 26,419 239,593 6,948,197

Collatz Trajectory (222 steps to reach 1)

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

6,948,197 20,844,592 10,422,296 5,211,148 2,605,574 1,302,787 3,908,362 1,954,181 5,862,544 2,931,272 1,465,636 732,818 366,409 1,099,228 549,614 274,807 824,422 412,211 1,236,634 618,317 1,854,952 927,476 463,738 231,869 695,608 347,804 173,902 86,951 260,854 130,427 391,282 195,641 586,924 293,462 146,731 440,194 220,097 660,292 330,146 165,073 495,220 247,610 123,805 371,416 185,708 92,854 46,427 139,282 69,641 208,924 104,462 52,231 156,694 78,347 235,042 117,521 352,564 176,282 88,141 264,424

More profiles

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