8,287,765

5 × 29 × 61 × 937

For 8,287,765, the 16 positive divisors have a total of 10,468,080. Removing 8,287,765 leaves 2,180,315, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 29 × 61 × 937

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,468,080

Proper Divisor Sum 2,180,315

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #8287729 ← → #8287793

Radix Representation

Decimal	8287765
Binary	11111100111011000010101 (23 bits)
Octal	0o37473025
Hexadecimal	0x7E7615

Divisor Catalog (16)

1 5 29 61 145 305 937 1,769 4,685 8,845 27,173 57,157 135,865 285,785 1,657,553 8,287,765

Collatz Trajectory (137 steps to reach 1)

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

8,287,765 24,863,296 12,431,648 6,215,824 3,107,912 1,553,956 776,978 388,489 1,165,468 582,734 291,367 874,102 437,051 1,311,154 655,577 1,966,732 983,366 491,683 1,475,050 737,525 2,212,576 1,106,288 553,144 276,572 138,286 69,143 207,430 103,715 311,146 155,573 466,720 233,360 116,680 58,340 29,170 14,585 43,756 21,878 10,939 32,818 16,409 49,228 24,614 12,307 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764

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