8,402,162

2 × 499 × 8419

For 8,402,162, the 8 positive divisors have a total of 12,630,000. Removing 8,402,162 leaves 4,227,838, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 499 × 8419

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,630,000

Proper Divisor Sum 4,227,838

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #8402159 ← → #8402179

Radix Representation

Decimal	8402162
Binary	100000000011010011110010 (24 bits)
Octal	0o40032362
Hexadecimal	0x8034F2

Divisor Catalog (8)

1 2 499 998 8,419 16,838 4,201,081 8,402,162

Collatz Trajectory (129 steps to reach 1)

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

8,402,162 4,201,081 12,603,244 6,301,622 3,150,811 9,452,434 4,726,217 14,178,652 7,089,326 3,544,663 10,633,990 5,316,995 15,950,986 7,975,493 23,926,480 11,963,240 5,981,620 2,990,810 1,495,405 4,486,216 2,243,108 1,121,554 560,777 1,682,332 841,166 420,583 1,261,750 630,875 1,892,626 946,313 2,838,940 1,419,470 709,735 2,129,206 1,064,603 3,193,810 1,596,905 4,790,716 2,395,358 1,197,679 3,593,038 1,796,519 5,389,558 2,694,779 8,084,338 4,042,169 12,126,508 6,063,254 3,031,627 9,094,882 4,547,441 13,642,324 6,821,162 3,410,581 10,231,744 5,115,872 2,557,936 1,278,968 639,484 319,742

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