3,010,210

2 × 5 × 7 × 43003

3,010,210 factors as 2 × 5 × 7 × 43003. Its 16 positive divisors give a proper-divisor sum of 3,182,366, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 43003

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,192,576

Proper Divisor Sum 3,182,366

Digit Sum / Digital Root 7 (Root: 7)

Adjacent Primes #3010199 ← → #3010213

Radix Representation

Decimal	3010210
Binary	1011011110111010100010 (22 bits)
Octal	0o13367242
Hexadecimal	0x2DEEA2

Divisor Catalog (16)

1 2 5 7 10 14 35 70 43,003 86,006 215,015 301,021 430,030 602,042 1,505,105 3,010,210

Collatz Trajectory (133 steps to reach 1)

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

3,010,210 1,505,105 4,515,316 2,257,658 1,128,829 3,386,488 1,693,244 846,622 423,311 1,269,934 634,967 1,904,902 952,451 2,857,354 1,428,677 4,286,032 2,143,016 1,071,508 535,754 267,877 803,632 401,816 200,908 100,454 50,227 150,682 75,341 226,024 113,012 56,506 28,253 84,760 42,380 21,190 10,595 31,786 15,893 47,680 23,840 11,920 5,960 2,980 1,490 745 2,236 1,118 559 1,678 839 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190

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