λ
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Atlas › Integer Profiles › Node 2,002,070

2,002,070

2 × 5 × 7 × 37 × 773
Abundant Even Composite

2,002,070 factors as 2 × 5 × 7 × 37 × 773. Its 32 positive divisors give a proper-divisor sum of 2,233,258, so this integer is abundant. The Collatz stopping time is 47 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 37 × 773
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,235,328
Proper Divisor Sum 2,233,258
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #2002061 ← → #2002079

Radix Representation

Decimal 2002070
Binary 111101000110010010110 (21 bits)
Octal 0o7506226
Hexadecimal 0x1E8C96

Divisor Catalog (32)

1 2 5 7 10 14 35 37 70 74 185 259 370 518 773 1,295 1,546 2,590 3,865 5,411 7,730 10,822 27,055 28,601 54,110 57,202 143,005 200,207 286,010 400,414 1,001,035 2,002,070

Collatz Trajectory (47 steps to reach 1)

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

2,002,070 1,001,035 3,003,106 1,501,553 4,504,660 2,252,330 1,126,165 3,378,496 1,689,248 844,624 422,312 211,156 105,578 52,789 158,368 79,184 39,592 19,796 9,898 4,949 14,848 7,424 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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