λ
Harmonic Matrix

8,315,365

5 × 1663073
Deficient Odd Composite

8,315,365 has digital root 4. The neighboring primes are 8315353 and 8315371; its proper-divisor sum differs from the starting integer by -6,652,286.

Prime Factor Structure

Factorization String 5 × 1663073
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 9,978,444
Proper Divisor Sum 1,663,079
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8315353 ← → #8315371

Radix Representation

Decimal 8315365
Binary 11111101110000111100101 (23 bits)
Octal 0o37560745
Hexadecimal 0x7EE1E5

Divisor Catalog (4)

1 5 1,663,073 8,315,365

Collatz Trajectory (93 steps to reach 1)

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

8,315,365 24,946,096 12,473,048 6,236,524 3,118,262 1,559,131 4,677,394 2,338,697 7,016,092 3,508,046 1,754,023 5,262,070 2,631,035 7,893,106 3,946,553 11,839,660 5,919,830 2,959,915 8,879,746 4,439,873 13,319,620 6,659,810 3,329,905 9,989,716 4,994,858 2,497,429 7,492,288 3,746,144 1,873,072 936,536 468,268 234,134 117,067 351,202 175,601 526,804 263,402 131,701 395,104 197,552 98,776 49,388 24,694 12,347 37,042 18,521 55,564 27,782 13,891 41,674 20,837 62,512 31,256 15,628 7,814 3,907 11,722 5,861 17,584 8,792

More profiles

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