8,165,277

3² × 61 × 107 × 139

8,165,277 has digital root 9. The neighboring primes are 8165249 and 8165303; its proper-divisor sum differs from the starting integer by -4,143,834.

Prime Factor Structure

Factorization String 3^2 × 61 × 107 × 139

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 12,186,720

Proper Divisor Sum 4,021,443

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8165249 ← → #8165303

Radix Representation

Decimal	8165277
Binary	11111001001011110011101 (23 bits)
Octal	0o37113635
Hexadecimal	0x7C979D

Divisor Catalog (24)

1 3 9 61 107 139 183 321 417 549 963 1,251 6,527 8,479 14,873 19,581 25,437 44,619 58,743 76,311 133,857 907,253 2,721,759 8,165,277

Collatz Trajectory (168 steps to reach 1)

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

8,165,277 24,495,832 12,247,916 6,123,958 3,061,979 9,185,938 4,592,969 13,778,908 6,889,454 3,444,727 10,334,182 5,167,091 15,501,274 7,750,637 23,251,912 11,625,956 5,812,978 2,906,489 8,719,468 4,359,734 2,179,867 6,539,602 3,269,801 9,809,404 4,904,702 2,452,351 7,357,054 3,678,527 11,035,582 5,517,791 16,553,374 8,276,687 24,830,062 12,415,031 37,245,094 18,622,547 55,867,642 27,933,821 83,801,464 41,900,732 20,950,366 10,475,183 31,425,550 15,712,775 47,138,326 23,569,163 70,707,490 35,353,745 106,061,236 53,030,618 26,515,309 79,545,928 39,772,964 19,886,482 9,943,241 29,829,724 14,914,862 7,457,431 22,372,294 11,186,147

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