λ
Math Directory

6,206,379

3 × 1327 × 1559
Deficient Odd Composite

6,206,379 factors as 3 × 1327 × 1559. Its 8 positive divisors give a proper-divisor sum of 2,080,341, so this integer is deficient. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 3 × 1327 × 1559
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,286,720
Proper Divisor Sum 2,080,341
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6206371 ← → #6206383

Radix Representation

Decimal 6206379
Binary 10111101011001110101011 (23 bits)
Octal 0o27531653
Hexadecimal 0x5EB3AB

Divisor Catalog (8)

1 3 1,327 1,559 3,981 4,677 2,068,793 6,206,379

Collatz Trajectory (196 steps to reach 1)

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

6,206,379 18,619,138 9,309,569 27,928,708 13,964,354 6,982,177 20,946,532 10,473,266 5,236,633 15,709,900 7,854,950 3,927,475 11,782,426 5,891,213 17,673,640 8,836,820 4,418,410 2,209,205 6,627,616 3,313,808 1,656,904 828,452 414,226 207,113 621,340 310,670 155,335 466,006 233,003 699,010 349,505 1,048,516 524,258 262,129 786,388 393,194 196,597 589,792 294,896 147,448 73,724 36,862 18,431 55,294 27,647 82,942 41,471 124,414 62,207 186,622 93,311 279,934 139,967 419,902 209,951 629,854 314,927 944,782 472,391 1,417,174

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