2,007,024

2⁴ × 3 × 41813

2,007,024 has digital root 6. The neighboring primes are 2007013 and 2007029; its proper-divisor sum differs from the starting integer by 1,170,888.

Prime Factor Structure

Factorization String 2^4 × 3 × 41813

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 5,184,936

Proper Divisor Sum 3,177,912

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #2007013 ← → #2007029

Radix Representation

Decimal	2007024
Binary	111101001111111110000 (21 bits)
Octal	0o7517760
Hexadecimal	0x1E9FF0

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 41,813 83,626 125,439 167,252 250,878 334,504 501,756 669,008 1,003,512 2,007,024

Collatz Trajectory (259 steps to reach 1)

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

2,007,024 1,003,512 501,756 250,878 125,439 376,318 188,159 564,478 282,239 846,718 423,359 1,270,078 635,039 1,905,118 952,559 2,857,678 1,428,839 4,286,518 2,143,259 6,429,778 3,214,889 9,644,668 4,822,334 2,411,167 7,233,502 3,616,751 10,850,254 5,425,127 16,275,382 8,137,691 24,413,074 12,206,537 36,619,612 18,309,806 9,154,903 27,464,710 13,732,355 41,197,066 20,598,533 61,795,600 30,897,800 15,448,900 7,724,450 3,862,225 11,586,676 5,793,338 2,896,669 8,690,008 4,345,004 2,172,502 1,086,251 3,258,754 1,629,377 4,888,132 2,444,066 1,222,033 3,666,100 1,833,050 916,525 2,749,576

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