λ
Ratio Atlas

8,398,360

23 × 5 × 209959
Abundant Even Composite

8,398,360 factors as 2^3 × 5 × 209959. Its 16 positive divisors give a proper-divisor sum of 10,498,040, so this integer is abundant. The Collatz stopping time is 243 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 209959
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 18,896,400
Proper Divisor Sum 10,498,040
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #8398349 ← → #8398387

Radix Representation

Decimal 8398360
Binary 100000000010011000011000 (24 bits)
Octal 0o40023030
Hexadecimal 0x802618

Divisor Catalog (16)

1 2 4 5 8 10 20 40 209,959 419,918 839,836 1,049,795 1,679,672 2,099,590 4,199,180 8,398,360

Collatz Trajectory (243 steps to reach 1)

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

8,398,360 4,199,180 2,099,590 1,049,795 3,149,386 1,574,693 4,724,080 2,362,040 1,181,020 590,510 295,255 885,766 442,883 1,328,650 664,325 1,992,976 996,488 498,244 249,122 124,561 373,684 186,842 93,421 280,264 140,132 70,066 35,033 105,100 52,550 26,275 78,826 39,413 118,240 59,120 29,560 14,780 7,390 3,695 11,086 5,543 16,630 8,315 24,946 12,473 37,420 18,710 9,355 28,066 14,033 42,100 21,050 10,525 31,576 15,788 7,894 3,947 11,842 5,921 17,764 8,882

More profiles

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