6,805,831

17 × 61 × 6563

Starting at 6,805,831, the Collatz iteration reaches 1 after 222 steps. The first transition is 20417494; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 61 × 6563

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,325,424

Proper Divisor Sum 519,593

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6805829 ← → #6805853

Radix Representation

Decimal	6805831
Binary	11001111101100101000111 (23 bits)
Octal	0o31754507
Hexadecimal	0x67D947

Divisor Catalog (8)

1 17 61 1,037 6,563 111,571 400,343 6,805,831

Collatz Trajectory (222 steps to reach 1)

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

6,805,831 20,417,494 10,208,747 30,626,242 15,313,121 45,939,364 22,969,682 11,484,841 34,454,524 17,227,262 8,613,631 25,840,894 12,920,447 38,761,342 19,380,671 58,142,014 29,071,007 87,213,022 43,606,511 130,819,534 65,409,767 196,229,302 98,114,651 294,343,954 147,171,977 441,515,932 220,757,966 110,378,983 331,136,950 165,568,475 496,705,426 248,352,713 745,058,140 372,529,070 186,264,535 558,793,606 279,396,803 838,190,410 419,095,205 1,257,285,616 628,642,808 314,321,404 157,160,702 78,580,351 235,741,054 117,870,527 353,611,582 176,805,791 530,417,374 265,208,687 795,626,062 397,813,031 1,193,439,094 596,719,547 1,790,158,642 895,079,321 2,685,237,964 1,342,618,982 671,309,491 2,013,928,474

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