λ
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Atlas › Integer Profiles › Node 4,264,263

4,264,263

32 × 17 × 47 × 593
Deficient Odd Composite

4,264,263 factors as 3^2 × 17 × 47 × 593. Its 24 positive divisors give a proper-divisor sum of 2,407,545, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 3^2 × 17 × 47 × 593
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,671,808
Proper Divisor Sum 2,407,545
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4264261 ← → #4264289

Radix Representation

Decimal 4264263
Binary 10000010001000101000111 (23 bits)
Octal 0o20210507
Hexadecimal 0x411147

Divisor Catalog (24)

1 3 9 17 47 51 141 153 423 593 799 1,779 2,397 5,337 7,191 10,081 27,871 30,243 83,613 90,729 250,839 473,807 1,421,421 4,264,263

Collatz Trajectory (211 steps to reach 1)

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

4,264,263 12,792,790 6,396,395 19,189,186 9,594,593 28,783,780 14,391,890 7,195,945 21,587,836 10,793,918 5,396,959 16,190,878 8,095,439 24,286,318 12,143,159 36,429,478 18,214,739 54,644,218 27,322,109 81,966,328 40,983,164 20,491,582 10,245,791 30,737,374 15,368,687 46,106,062 23,053,031 69,159,094 34,579,547 103,738,642 51,869,321 155,607,964 77,803,982 38,901,991 116,705,974 58,352,987 175,058,962 87,529,481 262,588,444 131,294,222 65,647,111 196,941,334 98,470,667 295,412,002 147,706,001 443,118,004 221,559,002 110,779,501 332,338,504 166,169,252 83,084,626 41,542,313 124,626,940 62,313,470 31,156,735 93,470,206 46,735,103 140,205,310 70,102,655 210,307,966

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