2,007,990

2 × 3⁴ × 5 × 37 × 67

2,007,990 factors as 2 × 3^4 × 5 × 37 × 67. Its 80 positive divisors give a proper-divisor sum of 3,619,962, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 37 × 67

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 5,627,952

Proper Divisor Sum 3,619,962

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2007979 ← → #2008003

Radix Representation

Decimal	2007990
Binary	111101010001110110110 (21 bits)
Octal	0o7521666
Hexadecimal	0x1EA3B6

Divisor Catalog (60 of 80)

1 2 3 5 6 9 10 15 18 27 30 37 45 54 67 74 81 90 111 134 135 162 185 201 222 270 333 335 370 402 405 555 603 666 670 810 999 1,005 1,110 1,206 1,665 1,809 1,998 2,010 2,479 2,997 3,015 3,330 3,618 4,958 4,995 5,427 5,994 6,030 7,437 9,045 9,990 10,854 12,395 14,874

Collatz Trajectory (91 steps to reach 1)

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

2,007,990 1,003,995 3,011,986 1,505,993 4,517,980 2,258,990 1,129,495 3,388,486 1,694,243 5,082,730 2,541,365 7,624,096 3,812,048 1,906,024 953,012 476,506 238,253 714,760 357,380 178,690 89,345 268,036 134,018 67,009 201,028 100,514 50,257 150,772 75,386 37,693 113,080 56,540 28,270 14,135 42,406 21,203 63,610 31,805 95,416 47,708 23,854 11,927 35,782 17,891 53,674 26,837 80,512 40,256 20,128 10,064 5,032 2,516 1,258 629 1,888 944 472 236 118 59

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