λ
Sigma Notebook

5,824,767

3 × 13 × 233 × 641
Deficient Odd Composite

5,824,767 is odd and not a perfect square. Its factorization is 3 × 13 × 233 × 641 and its 16 divisors sum to 8,412,768.

Prime Factor Structure

Factorization String 3 × 13 × 233 × 641
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 8,412,768
Proper Divisor Sum 2,588,001
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #5824751 ← → #5824781

Radix Representation

Decimal 5824767
Binary 10110001110000011111111 (23 bits)
Octal 0o26160377
Hexadecimal 0x58E0FF

Divisor Catalog (16)

1 3 13 39 233 641 699 1,923 3,029 8,333 9,087 24,999 149,353 448,059 1,941,589 5,824,767

Collatz Trajectory (201 steps to reach 1)

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

5,824,767 17,474,302 8,737,151 26,211,454 13,105,727 39,317,182 19,658,591 58,975,774 29,487,887 88,463,662 44,231,831 132,695,494 66,347,747 199,043,242 99,521,621 298,564,864 149,282,432 74,641,216 37,320,608 18,660,304 9,330,152 4,665,076 2,332,538 1,166,269 3,498,808 1,749,404 874,702 437,351 1,312,054 656,027 1,968,082 984,041 2,952,124 1,476,062 738,031 2,214,094 1,107,047 3,321,142 1,660,571 4,981,714 2,490,857 7,472,572 3,736,286 1,868,143 5,604,430 2,802,215 8,406,646 4,203,323 12,609,970 6,304,985 18,914,956 9,457,478 4,728,739 14,186,218 7,093,109 21,279,328 10,639,664 5,319,832 2,659,916 1,329,958

More profiles

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