λ
Harmonic Matrix

6,845,693

6845693
Deficient Odd Prime

6,845,693 has digital root 5. The neighboring primes are 6845687 and 6845701; its proper-divisor sum differs from the starting integer by -6,845,692.

Prime Factor Structure

Factorization String 6845693
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 6,845,694
Proper Divisor Sum 1
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #6845687 ← → #6845701

Radix Representation

Decimal 6845693
Binary 11010000111010011111101 (23 bits)
Octal 0o32072375
Hexadecimal 0x6874FD

Divisor Catalog (2)

Collatz Trajectory (116 steps to reach 1)

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

6,845,693 20,537,080 10,268,540 5,134,270 2,567,135 7,701,406 3,850,703 11,552,110 5,776,055 17,328,166 8,664,083 25,992,250 12,996,125 38,988,376 19,494,188 9,747,094 4,873,547 14,620,642 7,310,321 21,930,964 10,965,482 5,482,741 16,448,224 8,224,112 4,112,056 2,056,028 1,028,014 514,007 1,542,022 771,011 2,313,034 1,156,517 3,469,552 1,734,776 867,388 433,694 216,847 650,542 325,271 975,814 487,907 1,463,722 731,861 2,195,584 1,097,792 548,896 274,448 137,224 68,612 34,306 17,153 51,460 25,730 12,865 38,596 19,298 9,649 28,948 14,474 7,237

More profiles

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