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Atlas › Integer Profiles › Node 5,823,945

5,823,945

32 × 5 × 17 × 23 × 331
Deficient Odd Composite

5,823,945 factors as 3^2 × 5 × 17 × 23 × 331. Its 48 positive divisors give a proper-divisor sum of 5,363,127, so this integer is deficient. The Collatz stopping time is 95 steps.

Prime Factor Structure

Factorization String 3^2 × 5 × 17 × 23 × 331
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,187,072
Proper Divisor Sum 5,363,127
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5823943 ← → #5823947

Radix Representation

Decimal 5823945
Binary 10110001101110111001001 (23 bits)
Octal 0o26156711
Hexadecimal 0x58DDC9

Divisor Catalog (48)

1 3 5 9 15 17 23 45 51 69 85 115 153 207 255 331 345 391 765 993 1,035 1,173 1,655 1,955 2,979 3,519 4,965 5,627 5,865 7,613 14,895 16,881 17,595 22,839 28,135 38,065 50,643 68,517 84,405 114,195 129,421 253,215 342,585 388,263 647,105 1,164,789 1,941,315 5,823,945

Collatz Trajectory (95 steps to reach 1)

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

5,823,945 17,471,836 8,735,918 4,367,959 13,103,878 6,551,939 19,655,818 9,827,909 29,483,728 14,741,864 7,370,932 3,685,466 1,842,733 5,528,200 2,764,100 1,382,050 691,025 2,073,076 1,036,538 518,269 1,554,808 777,404 388,702 194,351 583,054 291,527 874,582 437,291 1,311,874 655,937 1,967,812 983,906 491,953 1,475,860 737,930 368,965 1,106,896 553,448 276,724 138,362 69,181 207,544 103,772 51,886 25,943 77,830 38,915 116,746 58,373 175,120 87,560 43,780 21,890 10,945 32,836 16,418 8,209 24,628 12,314 6,157

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