λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,021,998

7,021,998

2 × 33 × 109 × 1193
Abundant Even Composite

7,021,998 factors as 2 × 3^3 × 109 × 1193. Its 32 positive divisors give a proper-divisor sum of 8,738,802, so this integer is abundant. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 109 × 1193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,760,800
Proper Divisor Sum 8,738,802
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #7021997 ← → #7021999

Radix Representation

Decimal 7021998
Binary 11010110010010110101110 (23 bits)
Octal 0o32622656
Hexadecimal 0x6B25AE

Divisor Catalog (32)

1 2 3 6 9 18 27 54 109 218 327 654 981 1,193 1,962 2,386 2,943 3,579 5,886 7,158 10,737 21,474 32,211 64,422 130,037 260,074 390,111 780,222 1,170,333 2,340,666 3,510,999 7,021,998

Collatz Trajectory (129 steps to reach 1)

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

7,021,998 3,510,999 10,532,998 5,266,499 15,799,498 7,899,749 23,699,248 11,849,624 5,924,812 2,962,406 1,481,203 4,443,610 2,221,805 6,665,416 3,332,708 1,666,354 833,177 2,499,532 1,249,766 624,883 1,874,650 937,325 2,811,976 1,405,988 702,994 351,497 1,054,492 527,246 263,623 790,870 395,435 1,186,306 593,153 1,779,460 889,730 444,865 1,334,596 667,298 333,649 1,000,948 500,474 250,237 750,712 375,356 187,678 93,839 281,518 140,759 422,278 211,139 633,418 316,709 950,128 475,064 237,532 118,766 59,383 178,150 89,075 267,226

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,021,997 Browse Full Index Next Integer #7,021,999 →