8,064,077

7² × 199 × 827

8,064,077 is odd and not a perfect square. Its factorization is 7^2 × 199 × 827 and its 12 divisors sum to 9,439,200.

Prime Factor Structure

Factorization String 7^2 × 199 × 827

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,439,200

Proper Divisor Sum 1,375,123

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #8064041 ← → #8064097

Radix Representation

Decimal	8064077
Binary	11110110000110001001101 (23 bits)
Octal	0o36606115
Hexadecimal	0x7B0C4D

Divisor Catalog (12)

1 7 49 199 827 1,393 5,789 9,751 40,523 164,573 1,152,011 8,064,077

Collatz Trajectory (137 steps to reach 1)

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

8,064,077 24,192,232 12,096,116 6,048,058 3,024,029 9,072,088 4,536,044 2,268,022 1,134,011 3,402,034 1,701,017 5,103,052 2,551,526 1,275,763 3,827,290 1,913,645 5,740,936 2,870,468 1,435,234 717,617 2,152,852 1,076,426 538,213 1,614,640 807,320 403,660 201,830 100,915 302,746 151,373 454,120 227,060 113,530 56,765 170,296 85,148 42,574 21,287 63,862 31,931 95,794 47,897 143,692 71,846 35,923 107,770 53,885 161,656 80,828 40,414 20,207 60,622 30,311 90,934 45,467 136,402 68,201 204,604 102,302 51,151

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