6,030,320

2⁴ × 5 × 43 × 1753

6,030,320 factors as 2^4 × 5 × 43 × 1753. Its 40 positive divisors give a proper-divisor sum of 8,324,416, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 43 × 1753

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 40

Divisor Sum (σ) 14,354,736

Proper Divisor Sum 8,324,416

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #6030317 ← → #6030361

Radix Representation

Decimal	6030320
Binary	10111000000001111110000 (23 bits)
Octal	0o27001760
Hexadecimal	0x5C03F0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1,720 1,753 3,440 3,506 7,012 8,765 14,024 17,530 28,048 35,060 70,120 75,379 140,240 150,758 301,516 376,895 603,032 753,790 1,206,064 1,507,580 3,015,160 6,030,320

Collatz Trajectory (183 steps to reach 1)

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

6,030,320 3,015,160 1,507,580 753,790 376,895 1,130,686 565,343 1,696,030 848,015 2,544,046 1,272,023 3,816,070 1,908,035 5,724,106 2,862,053 8,586,160 4,293,080 2,146,540 1,073,270 536,635 1,609,906 804,953 2,414,860 1,207,430 603,715 1,811,146 905,573 2,716,720 1,358,360 679,180 339,590 169,795 509,386 254,693 764,080 382,040 191,020 95,510 47,755 143,266 71,633 214,900 107,450 53,725 161,176 80,588 40,294 20,147 60,442 30,221 90,664 45,332 22,666 11,333 34,000 17,000 8,500 4,250 2,125 6,376

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