6,428,620

2² × 5 × 11 × 29221

6,428,620 factors as 2^2 × 5 × 11 × 29221. Its 24 positive divisors give a proper-divisor sum of 8,299,268, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 29221

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,727,888

Proper Divisor Sum 8,299,268

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #6428573 ← → #6428623

Radix Representation

Decimal	6428620
Binary	11000100001011111001100 (23 bits)
Octal	0o30413714
Hexadecimal	0x6217CC

Divisor Catalog (24)

1 2 4 5 10 11 20 22 44 55 110 220 29,221 58,442 116,884 146,105 292,210 321,431 584,420 642,862 1,285,724 1,607,155 3,214,310 6,428,620

Collatz Trajectory (147 steps to reach 1)

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

6,428,620 3,214,310 1,607,155 4,821,466 2,410,733 7,232,200 3,616,100 1,808,050 904,025 2,712,076 1,356,038 678,019 2,034,058 1,017,029 3,051,088 1,525,544 762,772 381,386 190,693 572,080 286,040 143,020 71,510 35,755 107,266 53,633 160,900 80,450 40,225 120,676 60,338 30,169 90,508 45,254 22,627 67,882 33,941 101,824 50,912 25,456 12,728 6,364 3,182 1,591 4,774 2,387 7,162 3,581 10,744 5,372 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803

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