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Atlas › Integer Profiles › Node 2,931,980

2,931,980

22 × 5 × 31 × 4729
Abundant Even Composite

2,931,980 factors as 2^2 × 5 × 31 × 4729. Its 24 positive divisors give a proper-divisor sum of 3,425,140, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 4729
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,357,120
Proper Divisor Sum 3,425,140
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #2931961 ← → #2931983

Radix Representation

Decimal 2931980
Binary 1011001011110100001100 (22 bits)
Octal 0o13136414
Hexadecimal 0x2CBD0C

Divisor Catalog (24)

1 2 4 5 10 20 31 62 124 155 310 620 4,729 9,458 18,916 23,645 47,290 94,580 146,599 293,198 586,396 732,995 1,465,990 2,931,980

Collatz Trajectory (200 steps to reach 1)

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

2,931,980 1,465,990 732,995 2,198,986 1,099,493 3,298,480 1,649,240 824,620 412,310 206,155 618,466 309,233 927,700 463,850 231,925 695,776 347,888 173,944 86,972 43,486 21,743 65,230 32,615 97,846 48,923 146,770 73,385 220,156 110,078 55,039 165,118 82,559 247,678 123,839 371,518 185,759 557,278 278,639 835,918 417,959 1,253,878 626,939 1,880,818 940,409 2,821,228 1,410,614 705,307 2,115,922 1,057,961 3,173,884 1,586,942 793,471 2,380,414 1,190,207 3,570,622 1,785,311 5,355,934 2,677,967 8,033,902 4,016,951

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