λ
Ratio Atlas

8,355,092

22 × 17 × 122869
Deficient Even Composite

8,355,092 factors as 2^2 × 17 × 122869. Its 12 positive divisors give a proper-divisor sum of 7,126,528, so this integer is deficient. The Collatz stopping time is 75 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 122869
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 15,481,620
Proper Divisor Sum 7,126,528
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8355091 ← → #8355131

Radix Representation

Decimal 8355092
Binary 11111110111110100010100 (23 bits)
Octal 0o37676424
Hexadecimal 0x7F7D14

Divisor Catalog (12)

1 2 4 17 34 68 122,869 245,738 491,476 2,088,773 4,177,546 8,355,092

Collatz Trajectory (75 steps to reach 1)

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

8,355,092 4,177,546 2,088,773 6,266,320 3,133,160 1,566,580 783,290 391,645 1,174,936 587,468 293,734 146,867 440,602 220,301 660,904 330,452 165,226 82,613 247,840 123,920 61,960 30,980 15,490 7,745 23,236 11,618 5,809 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196 98 49 148 74 37 112 56 28 14 7

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