1,165,131

3³ × 11 × 3923

1,165,131 factors as 3^3 × 11 × 3923. Its 16 positive divisors give a proper-divisor sum of 718,389, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 3^3 × 11 × 3923

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,883,520

Proper Divisor Sum 718,389

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #1165127 ← → #1165139

Radix Representation

Decimal	1165131
Binary	100011100011101001011 (21 bits)
Octal	0o4343513
Hexadecimal	0x11C74B

Divisor Catalog (16)

1 3 9 11 27 33 99 297 3,923 11,769 35,307 43,153 105,921 129,459 388,377 1,165,131

Collatz Trajectory (191 steps to reach 1)

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

1,165,131 3,495,394 1,747,697 5,243,092 2,621,546 1,310,773 3,932,320 1,966,160 983,080 491,540 245,770 122,885 368,656 184,328 92,164 46,082 23,041 69,124 34,562 17,281 51,844 25,922 12,961 38,884 19,442 9,721 29,164 14,582 7,291 21,874 10,937 32,812 16,406 8,203 24,610 12,305 36,916 18,458 9,229 27,688 13,844 6,922 3,461 10,384 5,192 2,596 1,298 649 1,948 974 487 1,462 731 2,194 1,097 3,292 1,646 823 2,470 1,235

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