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Atlas › Integer Profiles › Node 3,260,892

3,260,892

22 × 3 × 439 × 619
Abundant Even Composite

3,260,892 factors as 2^2 × 3 × 439 × 619. Its 24 positive divisors give a proper-divisor sum of 4,377,508, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 439 × 619
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,638,400
Proper Divisor Sum 4,377,508
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3260891 ← → #3260897

Radix Representation

Decimal 3260892
Binary 1100011100000111011100 (22 bits)
Octal 0o14340734
Hexadecimal 0x31C1DC

Divisor Catalog (24)

1 2 3 4 6 12 439 619 878 1,238 1,317 1,756 1,857 2,476 2,634 3,714 5,268 7,428 271,741 543,482 815,223 1,086,964 1,630,446 3,260,892

Collatz Trajectory (115 steps to reach 1)

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

3,260,892 1,630,446 815,223 2,445,670 1,222,835 3,668,506 1,834,253 5,502,760 2,751,380 1,375,690 687,845 2,063,536 1,031,768 515,884 257,942 128,971 386,914 193,457 580,372 290,186 145,093 435,280 217,640 108,820 54,410 27,205 81,616 40,808 20,404 10,202 5,101 15,304 7,652 3,826 1,913 5,740 2,870 1,435 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180 4,090 2,045 6,136 3,068 1,534 767 2,302 1,151 3,454

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