λ
Harmonic Matrix

8,093,245

5 × 43 × 37643
Deficient Odd Composite

8,093,245 has digital root 4. The neighboring primes are 8093237 and 8093249; its proper-divisor sum differs from the starting integer by -6,248,474.

Prime Factor Structure

Factorization String 5 × 43 × 37643
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,938,016
Proper Divisor Sum 1,844,771
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8093237 ← → #8093249

Radix Representation

Decimal 8093245
Binary 11110110111111000111101 (23 bits)
Octal 0o36677075
Hexadecimal 0x7B7E3D

Divisor Catalog (8)

1 5 43 215 37,643 188,215 1,618,649 8,093,245

Collatz Trajectory (248 steps to reach 1)

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

8,093,245 24,279,736 12,139,868 6,069,934 3,034,967 9,104,902 4,552,451 13,657,354 6,828,677 20,486,032 10,243,016 5,121,508 2,560,754 1,280,377 3,841,132 1,920,566 960,283 2,880,850 1,440,425 4,321,276 2,160,638 1,080,319 3,240,958 1,620,479 4,861,438 2,430,719 7,292,158 3,646,079 10,938,238 5,469,119 16,407,358 8,203,679 24,611,038 12,305,519 36,916,558 18,458,279 55,374,838 27,687,419 83,062,258 41,531,129 124,593,388 62,296,694 31,148,347 93,445,042 46,722,521 140,167,564 70,083,782 35,041,891 105,125,674 52,562,837 157,688,512 78,844,256 39,422,128 19,711,064 9,855,532 4,927,766 2,463,883 7,391,650 3,695,825 11,087,476

More profiles

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