8,095,096

2³ × 179 × 5653

8,095,096 factors as 2^3 × 179 × 5653. Its 16 positive divisors give a proper-divisor sum of 7,170,704, so this integer is deficient. The Collatz stopping time is 186 steps.

Prime Factor Structure

Factorization String 2^3 × 179 × 5653

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,265,800

Proper Divisor Sum 7,170,704

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #8095093 ← → #8095097

Radix Representation

Decimal	8095096
Binary	11110111000010101111000 (23 bits)
Octal	0o36702570
Hexadecimal	0x7B8578

Divisor Catalog (16)

1 2 4 8 179 358 716 1,432 5,653 11,306 22,612 45,224 1,011,887 2,023,774 4,047,548 8,095,096

Collatz Trajectory (186 steps to reach 1)

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

8,095,096 4,047,548 2,023,774 1,011,887 3,035,662 1,517,831 4,553,494 2,276,747 6,830,242 3,415,121 10,245,364 5,122,682 2,561,341 7,684,024 3,842,012 1,921,006 960,503 2,881,510 1,440,755 4,322,266 2,161,133 6,483,400 3,241,700 1,620,850 810,425 2,431,276 1,215,638 607,819 1,823,458 911,729 2,735,188 1,367,594 683,797 2,051,392 1,025,696 512,848 256,424 128,212 64,106 32,053 96,160 48,080 24,040 12,020 6,010 3,005 9,016 4,508 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566

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