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Atlas › Integer Profiles › Node 2,020,900

2,020,900

22 × 52 × 7 × 2887
Abundant Even Composite

2,020,900 factors as 2^2 × 5^2 × 7 × 2887. Its 36 positive divisors give a proper-divisor sum of 2,992,668, so this integer is abundant. The Collatz stopping time is 140 steps.

Prime Factor Structure

Factorization String 2^2 × 5^2 × 7 × 2887
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,013,568
Proper Divisor Sum 2,992,668
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #2020891 ← → #2020913

Radix Representation

Decimal 2020900
Binary 111101101011000100100 (21 bits)
Octal 0o7553044
Hexadecimal 0x1ED624

Divisor Catalog (36)

1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 2,887 5,774 11,548 14,435 20,209 28,870 40,418 57,740 72,175 80,836 101,045 144,350 202,090 288,700 404,180 505,225 1,010,450 2,020,900

Collatz Trajectory (140 steps to reach 1)

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

2,020,900 1,010,450 505,225 1,515,676 757,838 378,919 1,136,758 568,379 1,705,138 852,569 2,557,708 1,278,854 639,427 1,918,282 959,141 2,877,424 1,438,712 719,356 359,678 179,839 539,518 269,759 809,278 404,639 1,213,918 606,959 1,820,878 910,439 2,731,318 1,365,659 4,096,978 2,048,489 6,145,468 3,072,734 1,536,367 4,609,102 2,304,551 6,913,654 3,456,827 10,370,482 5,185,241 15,555,724 7,777,862 3,888,931 11,666,794 5,833,397 17,500,192 8,750,096 4,375,048 2,187,524 1,093,762 546,881 1,640,644 820,322 410,161 1,230,484 615,242 307,621 922,864 461,432

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