9,106,591

13 × 31 × 59 × 383

9,106,591 factors as 13 × 31 × 59 × 383. Its 16 positive divisors give a proper-divisor sum of 1,215,329, so this integer is deficient. The Collatz stopping time is 318 steps.

Prime Factor Structure

Factorization String 13 × 31 × 59 × 383

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,321,920

Proper Divisor Sum 1,215,329

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #9106589 ← → #9106607

Radix Representation

Decimal	9106591
Binary	100010101111010010011111 (24 bits)
Octal	0o42572237
Hexadecimal	0x8AF49F

Divisor Catalog (16)

1 13 31 59 383 403 767 1,829 4,979 11,873 22,597 23,777 154,349 293,761 700,507 9,106,591

Collatz Trajectory (318 steps to reach 1)

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

9,106,591 27,319,774 13,659,887 40,979,662 20,489,831 61,469,494 30,734,747 92,204,242 46,102,121 138,306,364 69,153,182 34,576,591 103,729,774 51,864,887 155,594,662 77,797,331 233,391,994 116,695,997 350,087,992 175,043,996 87,521,998 43,760,999 131,282,998 65,641,499 196,924,498 98,462,249 295,386,748 147,693,374 73,846,687 221,540,062 110,770,031 332,310,094 166,155,047 498,465,142 249,232,571 747,697,714 373,848,857 1,121,546,572 560,773,286 280,386,643 841,159,930 420,579,965 1,261,739,896 630,869,948 315,434,974 157,717,487 473,152,462 236,576,231 709,728,694 354,864,347 1,064,593,042 532,296,521 1,596,889,564 798,444,782 399,222,391 1,197,667,174 598,833,587 1,796,500,762 898,250,381 2,694,751,144

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