7,210,220

2² × 5 × 360511

7,210,220 factors as 2^2 × 5 × 360511. Its 12 positive divisors give a proper-divisor sum of 7,931,284, so this integer is abundant. The Collatz stopping time is 90 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 360511

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 15,141,504

Proper Divisor Sum 7,931,284

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #7210207 ← → #7210237

Radix Representation

Decimal	7210220
Binary	11011100000010011101100 (23 bits)
Octal	0o33402354
Hexadecimal	0x6E04EC

Divisor Catalog (12)

1 2 4 5 10 20 360,511 721,022 1,442,044 1,802,555 3,605,110 7,210,220

Collatz Trajectory (90 steps to reach 1)

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

7,210,220 3,605,110 1,802,555 5,407,666 2,703,833 8,111,500 4,055,750 2,027,875 6,083,626 3,041,813 9,125,440 4,562,720 2,281,360 1,140,680 570,340 285,170 142,585 427,756 213,878 106,939 320,818 160,409 481,228 240,614 120,307 360,922 180,461 541,384 270,692 135,346 67,673 203,020 101,510 50,755 152,266 76,133 228,400 114,200 57,100 28,550 14,275 42,826 21,413 64,240 32,120 16,060 8,030 4,015 12,046 6,023 18,070 9,035 27,106 13,553 40,660 20,330 10,165 30,496 15,248 7,624

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