λ
Prime Ledger

6,980,138

2 × 11 × 317279
Deficient Even Composite

6,980,138 has the prime decomposition 2 × 11 × 317279. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 317279
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,422,080
Proper Divisor Sum 4,441,942
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #6980137 ← → #6980159

Radix Representation

Decimal 6980138
Binary 11010101000001000101010 (23 bits)
Octal 0o32501052
Hexadecimal 0x6A822A

Divisor Catalog (8)

1 2 11 22 317,279 634,558 3,490,069 6,980,138

Collatz Trajectory (253 steps to reach 1)

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

6,980,138 3,490,069 10,470,208 5,235,104 2,617,552 1,308,776 654,388 327,194 163,597 490,792 245,396 122,698 61,349 184,048 92,024 46,012 23,006 11,503 34,510 17,255 51,766 25,883 77,650 38,825 116,476 58,238 29,119 87,358 43,679 131,038 65,519 196,558 98,279 294,838 147,419 442,258 221,129 663,388 331,694 165,847 497,542 248,771 746,314 373,157 1,119,472 559,736 279,868 139,934 69,967 209,902 104,951 314,854 157,427 472,282 236,141 708,424 354,212 177,106 88,553 265,660

More profiles

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