λ
Sigma Notebook

863,739

32 × 95971
Deficient Odd Composite

863,739 is odd and not a perfect square. Its factorization is 3^2 × 95971 and its 6 divisors sum to 1,247,636.

Prime Factor Structure

Factorization String 3^2 × 95971
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 1,247,636
Proper Divisor Sum 383,897
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #863729 ← → #863743

Radix Representation

Decimal 863739
Binary 11010010110111111011 (20 bits)
Octal 0o3226773
Hexadecimal 0xD2DFB

Divisor Catalog (6)

1 3 9 95,971 287,913 863,739

Collatz Trajectory (188 steps to reach 1)

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

863,739 2,591,218 1,295,609 3,886,828 1,943,414 971,707 2,915,122 1,457,561 4,372,684 2,186,342 1,093,171 3,279,514 1,639,757 4,919,272 2,459,636 1,229,818 614,909 1,844,728 922,364 461,182 230,591 691,774 345,887 1,037,662 518,831 1,556,494 778,247 2,334,742 1,167,371 3,502,114 1,751,057 5,253,172 2,626,586 1,313,293 3,939,880 1,969,940 984,970 492,485 1,477,456 738,728 369,364 184,682 92,341 277,024 138,512 69,256 34,628 17,314 8,657 25,972 12,986 6,493 19,480 9,740 4,870 2,435 7,306 3,653 10,960 5,480

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