7,242,220

2² × 5 × 31 × 11681

7,242,220 factors as 2^2 × 5 × 31 × 11681. Its 24 positive divisors give a proper-divisor sum of 8,458,388, so this integer is abundant. The Collatz stopping time is 222 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 11681

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 15,700,608

Proper Divisor Sum 8,458,388

Digit Sum / Digital Root 19 (Root: 1)

Adjacent Primes #7242203 ← → #7242233

Radix Representation

Decimal	7242220
Binary	11011101000000111101100 (23 bits)
Octal	0o33500754
Hexadecimal	0x6E81EC

Divisor Catalog (24)

Collatz Trajectory (222 steps to reach 1)

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

7,242,220 3,621,110 1,810,555 5,431,666 2,715,833 8,147,500 4,073,750 2,036,875 6,110,626 3,055,313 9,165,940 4,582,970 2,291,485 6,874,456 3,437,228 1,718,614 859,307 2,577,922 1,288,961 3,866,884 1,933,442 966,721 2,900,164 1,450,082 725,041 2,175,124 1,087,562 543,781 1,631,344 815,672 407,836 203,918 101,959 305,878 152,939 458,818 229,409 688,228 344,114 172,057 516,172 258,086 129,043 387,130 193,565 580,696 290,348 145,174 72,587 217,762 108,881 326,644 163,322 81,661 244,984 122,492 61,246 30,623 91,870 45,935

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