λ
Ratio Atlas

8,502,122

2 × 31 × 137131
Deficient Even Composite

8,502,122 factors as 2 × 31 × 137131. Its 8 positive divisors give a proper-divisor sum of 4,662,550, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 31 × 137131
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,164,672
Proper Divisor Sum 4,662,550
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #8502121 ← → #8502127

Radix Representation

Decimal 8502122
Binary 100000011011101101101010 (24 bits)
Octal 0o40335552
Hexadecimal 0x81BB6A

Divisor Catalog (8)

1 2 31 62 137,131 274,262 4,251,061 8,502,122

Collatz Trajectory (168 steps to reach 1)

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

8,502,122 4,251,061 12,753,184 6,376,592 3,188,296 1,594,148 797,074 398,537 1,195,612 597,806 298,903 896,710 448,355 1,345,066 672,533 2,017,600 1,008,800 504,400 252,200 126,100 63,050 31,525 94,576 47,288 23,644 11,822 5,911 17,734 8,867 26,602 13,301 39,904 19,952 9,976 4,988 2,494 1,247 3,742 1,871 5,614 2,807 8,422 4,211 12,634 6,317 18,952 9,476 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250

More profiles

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