26,316,005

5 × 47 × 113 × 991

26,316,005 factors as 5 × 47 × 113 × 991. Its 16 positive divisors give a proper-divisor sum of 6,253,339, so this integer is deficient. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 5 × 47 × 113 × 991

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 32,569,344

Proper Divisor Sum 6,253,339

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #26315999 ← → #26316013

Radix Representation

Decimal	26316005
Binary	1100100011000110011100101 (25 bits)
Octal	0o144306345
Hexadecimal	0x1918CE5

Divisor Catalog (16)

1 5 47 113 235 565 991 4,955 5,311 26,555 46,577 111,983 232,885 559,915 5,263,201 26,316,005

Collatz Trajectory (92 steps to reach 1)

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

26,316,005 78,948,016 39,474,008 19,737,004 9,868,502 4,934,251 14,802,754 7,401,377 22,204,132 11,102,066 5,551,033 16,653,100 8,326,550 4,163,275 12,489,826 6,244,913 18,734,740 9,367,370 4,683,685 14,051,056 7,025,528 3,512,764 1,756,382 878,191 2,634,574 1,317,287 3,951,862 1,975,931 5,927,794 2,963,897 8,891,692 4,445,846 2,222,923 6,668,770 3,334,385 10,003,156 5,001,578 2,500,789 7,502,368 3,751,184 1,875,592 937,796 468,898 234,449 703,348 351,674 175,837 527,512 263,756 131,878 65,939 197,818 98,909 296,728 148,364 74,182 37,091 111,274 55,637 166,912

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