8,275,563

3² × 41² × 547

8,275,563 has digital root 9. The neighboring primes are 8275559 and 8275567; its proper-divisor sum differs from the starting integer by -4,276,474.

Prime Factor Structure

Factorization String 3^2 × 41^2 × 547

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 12,274,652

Proper Divisor Sum 3,999,089

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8275559 ← → #8275567

Radix Representation

Decimal	8275563
Binary	11111100100011001101011 (23 bits)
Octal	0o37443153
Hexadecimal	0x7E466B

Divisor Catalog (18)

1 3 9 41 123 369 547 1,641 1,681 4,923 5,043 15,129 22,427 67,281 201,843 919,507 2,758,521 8,275,563

Collatz Trajectory (54 steps to reach 1)

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

8,275,563 24,826,690 12,413,345 37,240,036 18,620,018 9,310,009 27,930,028 13,965,014 6,982,507 20,947,522 10,473,761 31,421,284 15,710,642 7,855,321 23,565,964 11,782,982 5,891,491 17,674,474 8,837,237 26,511,712 13,255,856 6,627,928 3,313,964 1,656,982 828,491 2,485,474 1,242,737 3,728,212 1,864,106 932,053 2,796,160 1,398,080 699,040 349,520 174,760 87,380 43,690 21,845 65,536 32,768 16,384 8,192 4,096 2,048 1,024 512 256 128 64 32 16 8 4 2 1

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