8,292,248

2³ × 1036531

For 8,292,248, the 8 positive divisors have a total of 15,547,980. Removing 8,292,248 leaves 7,255,732, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 1036531

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 15,547,980

Proper Divisor Sum 7,255,732

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #8292247 ← → #8292293

Radix Representation

Decimal	8292248
Binary	11111101000011110011000 (23 bits)
Octal	0o37503630
Hexadecimal	0x7E8798

Divisor Catalog (8)

1 2 4 8 1,036,531 2,073,062 4,146,124 8,292,248

Collatz Trajectory (80 steps to reach 1)

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

8,292,248 4,146,124 2,073,062 1,036,531 3,109,594 1,554,797 4,664,392 2,332,196 1,166,098 583,049 1,749,148 874,574 437,287 1,311,862 655,931 1,967,794 983,897 2,951,692 1,475,846 737,923 2,213,770 1,106,885 3,320,656 1,660,328 830,164 415,082 207,541 622,624 311,312 155,656 77,828 38,914 19,457 58,372 29,186 14,593 43,780 21,890 10,945 32,836 16,418 8,209 24,628 12,314 6,157 18,472 9,236 4,618 2,309 6,928 3,464 1,732 866 433 1,300 650 325 976 488 244

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