λ
Sigma Notebook

723,983

13 × 55691
Deficient Odd Composite

723,983 is odd and not a perfect square. Its factorization is 13 × 55691 and its 4 divisors sum to 779,688.

Prime Factor Structure

Factorization String 13 × 55691
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 779,688
Proper Divisor Sum 55,705
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #723977 ← → #723997

Radix Representation

Decimal 723983
Binary 10110000110000001111 (20 bits)
Octal 0o2606017
Hexadecimal 0xB0C0F

Divisor Catalog (4)

1 13 55,691 723,983

Collatz Trajectory (105 steps to reach 1)

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

723,983 2,171,950 1,085,975 3,257,926 1,628,963 4,886,890 2,443,445 7,330,336 3,665,168 1,832,584 916,292 458,146 229,073 687,220 343,610 171,805 515,416 257,708 128,854 64,427 193,282 96,641 289,924 144,962 72,481 217,444 108,722 54,361 163,084 81,542 40,771 122,314 61,157 183,472 91,736 45,868 22,934 11,467 34,402 17,201 51,604 25,802 12,901 38,704 19,352 9,676 4,838 2,419 7,258 3,629 10,888 5,444 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766

More profiles

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