λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,222,292

7,222,292

22 × 7 × 11 × 131 × 179
Abundant Even Composite

7,222,292 factors as 2^2 × 7 × 11 × 131 × 179. Its 48 positive divisors give a proper-divisor sum of 8,744,428, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 11 × 131 × 179
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 15,966,720
Proper Divisor Sum 8,744,428
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7222291 ← → #7222321

Radix Representation

Decimal 7222292
Binary 11011100011010000010100 (23 bits)
Octal 0o33432024
Hexadecimal 0x6E3414

Divisor Catalog (48)

1 2 4 7 11 14 22 28 44 77 131 154 179 262 308 358 524 716 917 1,253 1,441 1,834 1,969 2,506 2,882 3,668 3,938 5,012 5,764 7,876 10,087 13,783 20,174 23,449 27,566 40,348 46,898 55,132 93,796 164,143 257,939 328,286 515,878 656,572 1,031,756 1,805,573 3,611,146 7,222,292

Collatz Trajectory (67 steps to reach 1)

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

7,222,292 3,611,146 1,805,573 5,416,720 2,708,360 1,354,180 677,090 338,545 1,015,636 507,818 253,909 761,728 380,864 190,432 95,216 47,608 23,804 11,902 5,951 17,854 8,927 26,782 13,391 40,174 20,087 60,262 30,131 90,394 45,197 135,592 67,796 33,898 16,949 50,848 25,424 12,712 6,356 3,178 1,589 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,222,291 Browse Full Index Next Integer #7,222,293 →