8,200,576

2⁷ × 64067

8,200,576 factors as 2^7 × 64067. Its 16 positive divisors give a proper-divisor sum of 8,136,764, so this integer is deficient. The Collatz stopping time is 54 steps.

Prime Factor Structure

Factorization String 2^7 × 64067

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,337,340

Proper Divisor Sum 8,136,764

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #8200561 ← → #8200589

Radix Representation

Decimal	8200576
Binary	11111010010000110000000 (23 bits)
Octal	0o37220600
Hexadecimal	0x7D2180

Divisor Catalog (16)

1 2 4 8 16 32 64 128 64,067 128,134 256,268 512,536 1,025,072 2,050,144 4,100,288 8,200,576

Collatz Trajectory (54 steps to reach 1)

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

8,200,576 4,100,288 2,050,144 1,025,072 512,536 256,268 128,134 64,067 192,202 96,101 288,304 144,152 72,076 36,038 18,019 54,058 27,029 81,088 40,544 20,272 10,136 5,068 2,534 1,267 3,802 1,901 5,704 2,852 1,426 713 2,140 1,070 535 1,606 803 2,410 1,205 3,616 1,808 904 452 226 113 340 170 85 256 128 64 32 16 8 4 2 1

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