λ
Ratio Atlas

8,069,207

31 × 131 × 1987
Deficient Odd Composite

8,069,207 factors as 31 × 131 × 1987. Its 8 positive divisors give a proper-divisor sum of 328,105, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 31 × 131 × 1987
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,397,312
Proper Divisor Sum 328,105
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #8069189 ← → #8069213

Radix Representation

Decimal 8069207
Binary 11110110010000001010111 (23 bits)
Octal 0o36620127
Hexadecimal 0x7B2057

Divisor Catalog (8)

1 31 131 1,987 4,061 61,597 260,297 8,069,207

Collatz Trajectory (137 steps to reach 1)

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

8,069,207 24,207,622 12,103,811 36,311,434 18,155,717 54,467,152 27,233,576 13,616,788 6,808,394 3,404,197 10,212,592 5,106,296 2,553,148 1,276,574 638,287 1,914,862 957,431 2,872,294 1,436,147 4,308,442 2,154,221 6,462,664 3,231,332 1,615,666 807,833 2,423,500 1,211,750 605,875 1,817,626 908,813 2,726,440 1,363,220 681,610 340,805 1,022,416 511,208 255,604 127,802 63,901 191,704 95,852 47,926 23,963 71,890 35,945 107,836 53,918 26,959 80,878 40,439 121,318 60,659 181,978 90,989 272,968 136,484 68,242 34,121 102,364 51,182

More profiles

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