861,165

3³ × 5 × 6379

861,165 has digital root 9. The neighboring primes are 861163 and 861167; its proper-divisor sum differs from the starting integer by -191,130.

Prime Factor Structure

Factorization String 3^3 × 5 × 6379

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,531,200

Proper Divisor Sum 670,035

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #861163 ← → #861167

Radix Representation

Decimal	861165
Binary	11010010001111101101 (20 bits)
Octal	0o3221755
Hexadecimal	0xD23ED

Divisor Catalog (16)

1 3 5 9 15 27 45 135 6,379 19,137 31,895 57,411 95,685 172,233 287,055 861,165

Collatz Trajectory (175 steps to reach 1)

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

861,165 2,583,496 1,291,748 645,874 322,937 968,812 484,406 242,203 726,610 363,305 1,089,916 544,958 272,479 817,438 408,719 1,226,158 613,079 1,839,238 919,619 2,758,858 1,379,429 4,138,288 2,069,144 1,034,572 517,286 258,643 775,930 387,965 1,163,896 581,948 290,974 145,487 436,462 218,231 654,694 327,347 982,042 491,021 1,473,064 736,532 368,266 184,133 552,400 276,200 138,100 69,050 34,525 103,576 51,788 25,894 12,947 38,842 19,421 58,264 29,132 14,566 7,283 21,850 10,925 32,776

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