8,142,088

2³ × 31 × 32831

For 8,142,088, the 16 positive divisors have a total of 15,759,360. Removing 8,142,088 leaves 7,617,272, which gives the deficient classification.

Prime Factor Structure

Factorization String 2^3 × 31 × 32831

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 15,759,360

Proper Divisor Sum 7,617,272

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #8142077 ← → #8142103

Radix Representation

Decimal	8142088
Binary	11111000011110100001000 (23 bits)
Octal	0o37036410
Hexadecimal	0x7C3D08

Divisor Catalog (16)

1 2 4 8 31 62 124 248 32,831 65,662 131,324 262,648 1,017,761 2,035,522 4,071,044 8,142,088

Collatz Trajectory (137 steps to reach 1)

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

8,142,088 4,071,044 2,035,522 1,017,761 3,053,284 1,526,642 763,321 2,289,964 1,144,982 572,491 1,717,474 858,737 2,576,212 1,288,106 644,053 1,932,160 966,080 483,040 241,520 120,760 60,380 30,190 15,095 45,286 22,643 67,930 33,965 101,896 50,948 25,474 12,737 38,212 19,106 9,553 28,660 14,330 7,165 21,496 10,748 5,374 2,687 8,062 4,031 12,094 6,047 18,142 9,071 27,214 13,607 40,822 20,411 61,234 30,617 91,852 45,926 22,963 68,890 34,445 103,336 51,668

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