6,690,340

2² × 5 × 37 × 9041

6,690,340 factors as 2^2 × 5 × 37 × 9041. Its 24 positive divisors give a proper-divisor sum of 7,740,692, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 37 × 9041

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,431,032

Proper Divisor Sum 7,740,692

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6690331 ← → #6690347

Radix Representation

Decimal	6690340
Binary	11001100001011000100100 (23 bits)
Octal	0o31413044
Hexadecimal	0x661624

Divisor Catalog (24)

1 2 4 5 10 20 37 74 148 185 370 740 9,041 18,082 36,164 45,205 90,410 180,820 334,517 669,034 1,338,068 1,672,585 3,345,170 6,690,340

Collatz Trajectory (165 steps to reach 1)

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

6,690,340 3,345,170 1,672,585 5,017,756 2,508,878 1,254,439 3,763,318 1,881,659 5,644,978 2,822,489 8,467,468 4,233,734 2,116,867 6,350,602 3,175,301 9,525,904 4,762,952 2,381,476 1,190,738 595,369 1,786,108 893,054 446,527 1,339,582 669,791 2,009,374 1,004,687 3,014,062 1,507,031 4,521,094 2,260,547 6,781,642 3,390,821 10,172,464 5,086,232 2,543,116 1,271,558 635,779 1,907,338 953,669 2,861,008 1,430,504 715,252 357,626 178,813 536,440 268,220 134,110 67,055 201,166 100,583 301,750 150,875 452,626 226,313 678,940 339,470 169,735 509,206 254,603

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