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Atlas › Integer Profiles › Node 2,002,720

2,002,720

25 × 5 × 12517
Abundant Even Composite

2,002,720 factors as 2^5 × 5 × 12517. Its 24 positive divisors give a proper-divisor sum of 2,729,084, so this integer is abundant. The Collatz stopping time is 166 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 12517
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,731,804
Proper Divisor Sum 2,729,084
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #2002681 ← → #2002723

Radix Representation

Decimal 2002720
Binary 111101000111100100000 (21 bits)
Octal 0o7507440
Hexadecimal 0x1E8F20

Divisor Catalog (24)

1 2 4 5 8 10 16 20 32 40 80 160 12,517 25,034 50,068 62,585 100,136 125,170 200,272 250,340 400,544 500,680 1,001,360 2,002,720

Collatz Trajectory (166 steps to reach 1)

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

2,002,720 1,001,360 500,680 250,340 125,170 62,585 187,756 93,878 46,939 140,818 70,409 211,228 105,614 52,807 158,422 79,211 237,634 118,817 356,452 178,226 89,113 267,340 133,670 66,835 200,506 100,253 300,760 150,380 75,190 37,595 112,786 56,393 169,180 84,590 42,295 126,886 63,443 190,330 95,165 285,496 142,748 71,374 35,687 107,062 53,531 160,594 80,297 240,892 120,446 60,223 180,670 90,335 271,006 135,503 406,510 203,255 609,766 304,883 914,650 457,325

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