λ
Integer Codex

8,642,366

2 × 31 × 139393
Deficient Even Composite

For 8,642,366, the 8 positive divisors have a total of 13,381,824. Removing 8,642,366 leaves 4,739,458, which gives the deficient classification.

Prime Factor Structure

Factorization String 2 × 31 × 139393
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 13,381,824
Proper Divisor Sum 4,739,458
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #8642329 ← → #8642383

Radix Representation

Decimal 8642366
Binary 100000111101111100111110 (24 bits)
Octal 0o40757476
Hexadecimal 0x83DF3E

Divisor Catalog (8)

1 2 31 62 139,393 278,786 4,321,183 8,642,366

Collatz Trajectory (119 steps to reach 1)

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

8,642,366 4,321,183 12,963,550 6,481,775 19,445,326 9,722,663 29,167,990 14,583,995 43,751,986 21,875,993 65,627,980 32,813,990 16,406,995 49,220,986 24,610,493 73,831,480 36,915,740 18,457,870 9,228,935 27,686,806 13,843,403 41,530,210 20,765,105 62,295,316 31,147,658 15,573,829 46,721,488 23,360,744 11,680,372 5,840,186 2,920,093 8,760,280 4,380,140 2,190,070 1,095,035 3,285,106 1,642,553 4,927,660 2,463,830 1,231,915 3,695,746 1,847,873 5,543,620 2,771,810 1,385,905 4,157,716 2,078,858 1,039,429 3,118,288 1,559,144 779,572 389,786 194,893 584,680 292,340 146,170 73,085 219,256 109,628 54,814

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