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Atlas › Integer Profiles › Node 6,862,002

6,862,002

2 × 3 × 7 × 19 × 8599
Abundant Even Composite

6,862,002 factors as 2 × 3 × 7 × 19 × 8599. Its 32 positive divisors give a proper-divisor sum of 9,649,998, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 19 × 8599
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,512,000
Proper Divisor Sum 9,649,998
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6862001 ← → #6862003

Radix Representation

Decimal 6862002
Binary 11010001011010010110010 (23 bits)
Octal 0o32132262
Hexadecimal 0x68B4B2

Divisor Catalog (32)

1 2 3 6 7 14 19 21 38 42 57 114 133 266 399 798 8,599 17,198 25,797 51,594 60,193 120,386 163,381 180,579 326,762 361,158 490,143 980,286 1,143,667 2,287,334 3,431,001 6,862,002

Collatz Trajectory (129 steps to reach 1)

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

6,862,002 3,431,001 10,293,004 5,146,502 2,573,251 7,719,754 3,859,877 11,579,632 5,789,816 2,894,908 1,447,454 723,727 2,171,182 1,085,591 3,256,774 1,628,387 4,885,162 2,442,581 7,327,744 3,663,872 1,831,936 915,968 457,984 228,992 114,496 57,248 28,624 14,312 7,156 3,578 1,789 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270

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