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Atlas › Integer Profiles › Node 6,561,096

6,561,096

23 × 3 × 167 × 1637
Abundant Even Composite

6,561,096 factors as 2^3 × 3 × 167 × 1637. Its 32 positive divisors give a proper-divisor sum of 9,949,944, so this integer is abundant. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 167 × 1637
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,511,040
Proper Divisor Sum 9,949,944
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #6561091 ← → #6561097

Radix Representation

Decimal 6561096
Binary 11001000001110101001000 (23 bits)
Octal 0o31016510
Hexadecimal 0x641D48

Divisor Catalog (32)

1 2 3 4 6 8 12 24 167 334 501 668 1,002 1,336 1,637 2,004 3,274 4,008 4,911 6,548 9,822 13,096 19,644 39,288 273,379 546,758 820,137 1,093,516 1,640,274 2,187,032 3,280,548 6,561,096

Collatz Trajectory (240 steps to reach 1)

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

6,561,096 3,280,548 1,640,274 820,137 2,460,412 1,230,206 615,103 1,845,310 922,655 2,767,966 1,383,983 4,151,950 2,075,975 6,227,926 3,113,963 9,341,890 4,670,945 14,012,836 7,006,418 3,503,209 10,509,628 5,254,814 2,627,407 7,882,222 3,941,111 11,823,334 5,911,667 17,735,002 8,867,501 26,602,504 13,301,252 6,650,626 3,325,313 9,975,940 4,987,970 2,493,985 7,481,956 3,740,978 1,870,489 5,611,468 2,805,734 1,402,867 4,208,602 2,104,301 6,312,904 3,156,452 1,578,226 789,113 2,367,340 1,183,670 591,835 1,775,506 887,753 2,663,260 1,331,630 665,815 1,997,446 998,723 2,996,170 1,498,085

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