λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,216,620

7,216,620

22 × 3 × 5 × 120277
Abundant Even Composite

7,216,620 factors as 2^2 × 3 × 5 × 120277. Its 24 positive divisors give a proper-divisor sum of 12,990,084, so this integer is abundant. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 120277
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 20,206,704
Proper Divisor Sum 12,990,084
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7216613 ← → #7216631

Radix Representation

Decimal 7216620
Binary 11011100001110111101100 (23 bits)
Octal 0o33416754
Hexadecimal 0x6E1DEC

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 120,277 240,554 360,831 481,108 601,385 721,662 1,202,770 1,443,324 1,804,155 2,405,540 3,608,310 7,216,620

Collatz Trajectory (142 steps to reach 1)

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

7,216,620 3,608,310 1,804,155 5,412,466 2,706,233 8,118,700 4,059,350 2,029,675 6,089,026 3,044,513 9,133,540 4,566,770 2,283,385 6,850,156 3,425,078 1,712,539 5,137,618 2,568,809 7,706,428 3,853,214 1,926,607 5,779,822 2,889,911 8,669,734 4,334,867 13,004,602 6,502,301 19,506,904 9,753,452 4,876,726 2,438,363 7,315,090 3,657,545 10,972,636 5,486,318 2,743,159 8,229,478 4,114,739 12,344,218 6,172,109 18,516,328 9,258,164 4,629,082 2,314,541 6,943,624 3,471,812 1,735,906 867,953 2,603,860 1,301,930 650,965 1,952,896 976,448 488,224 244,112 122,056 61,028 30,514 15,257 45,772

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,216,619 Browse Full Index Next Integer #7,216,621 →