8,720,648

2³ × 29 × 37589

For 8,720,648, the 16 positive divisors have a total of 16,915,500. Removing 8,720,648 leaves 8,194,852, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 29 × 37589

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 16,915,500

Proper Divisor Sum 8,194,852

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8720629 ← → #8720671

Radix Representation

Decimal	8720648
Binary	100001010001000100001000 (24 bits)
Octal	0o41210410
Hexadecimal	0x851108

Divisor Catalog (16)

1 2 4 8 29 58 116 232 37,589 75,178 150,356 300,712 1,090,081 2,180,162 4,360,324 8,720,648

Collatz Trajectory (93 steps to reach 1)

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

8,720,648 4,360,324 2,180,162 1,090,081 3,270,244 1,635,122 817,561 2,452,684 1,226,342 613,171 1,839,514 919,757 2,759,272 1,379,636 689,818 344,909 1,034,728 517,364 258,682 129,341 388,024 194,012 97,006 48,503 145,510 72,755 218,266 109,133 327,400 163,700 81,850 40,925 122,776 61,388 30,694 15,347 46,042 23,021 69,064 34,532 17,266 8,633 25,900 12,950 6,475 19,426 9,713 29,140 14,570 7,285 21,856 10,928 5,464 2,732 1,366 683 2,050 1,025 3,076 1,538

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