λ
Ratio Atlas
Atlas › Integer Profiles › Node 7,218,232

7,218,232

23 × 7 × 157 × 821
Abundant Even Composite

7,218,232 factors as 2^3 × 7 × 157 × 821. Its 32 positive divisors give a proper-divisor sum of 8,366,888, so this integer is abundant. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 157 × 821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 15,585,120
Proper Divisor Sum 8,366,888
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #7218227 ← → #7218247

Radix Representation

Decimal 7218232
Binary 11011100010010000111000 (23 bits)
Octal 0o33422070
Hexadecimal 0x6E2438

Divisor Catalog (32)

1 2 4 7 8 14 28 56 157 314 628 821 1,099 1,256 1,642 2,198 3,284 4,396 5,747 6,568 8,792 11,494 22,988 45,976 128,897 257,794 515,588 902,279 1,031,176 1,804,558 3,609,116 7,218,232

Collatz Trajectory (173 steps to reach 1)

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

7,218,232 3,609,116 1,804,558 902,279 2,706,838 1,353,419 4,060,258 2,030,129 6,090,388 3,045,194 1,522,597 4,567,792 2,283,896 1,141,948 570,974 285,487 856,462 428,231 1,284,694 642,347 1,927,042 963,521 2,890,564 1,445,282 722,641 2,167,924 1,083,962 541,981 1,625,944 812,972 406,486 203,243 609,730 304,865 914,596 457,298 228,649 685,948 342,974 171,487 514,462 257,231 771,694 385,847 1,157,542 578,771 1,736,314 868,157 2,604,472 1,302,236 651,118 325,559 976,678 488,339 1,465,018 732,509 2,197,528 1,098,764 549,382 274,691

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #7,218,231 Browse Full Index Next Integer #7,218,233 →