6,813,623

1889 × 3607

Starting at 6,813,623, the Collatz iteration reaches 1 after 191 steps. The first transition is 20440870; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 1889 × 3607

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 6,819,120

Proper Divisor Sum 5,497

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #6813613 ← → #6813629

Radix Representation

Decimal	6813623
Binary	11001111111011110110111 (23 bits)
Octal	0o31773667
Hexadecimal	0x67F7B7

Divisor Catalog (4)

1 1,889 3,607 6,813,623

Collatz Trajectory (191 steps to reach 1)

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

6,813,623 20,440,870 10,220,435 30,661,306 15,330,653 45,991,960 22,995,980 11,497,990 5,748,995 17,246,986 8,623,493 25,870,480 12,935,240 6,467,620 3,233,810 1,616,905 4,850,716 2,425,358 1,212,679 3,638,038 1,819,019 5,457,058 2,728,529 8,185,588 4,092,794 2,046,397 6,139,192 3,069,596 1,534,798 767,399 2,302,198 1,151,099 3,453,298 1,726,649 5,179,948 2,589,974 1,294,987 3,884,962 1,942,481 5,827,444 2,913,722 1,456,861 4,370,584 2,185,292 1,092,646 546,323 1,638,970 819,485 2,458,456 1,229,228 614,614 307,307 921,922 460,961 1,382,884 691,442 345,721 1,037,164 518,582 259,291

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