λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,301,656

6,301,656

23 × 32 × 87523
Abundant Even Composite

6,301,656 factors as 2^3 × 3^2 × 87523. Its 24 positive divisors give a proper-divisor sum of 10,765,524, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 87523
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,067,180
Proper Divisor Sum 10,765,524
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6301639 ← → #6301667

Radix Representation

Decimal 6301656
Binary 11000000010011111011000 (23 bits)
Octal 0o30023730
Hexadecimal 0x6027D8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 87,523 175,046 262,569 350,092 525,138 700,184 787,707 1,050,276 1,575,414 2,100,552 3,150,828 6,301,656

Collatz Trajectory (165 steps to reach 1)

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

6,301,656 3,150,828 1,575,414 787,707 2,363,122 1,181,561 3,544,684 1,772,342 886,171 2,658,514 1,329,257 3,987,772 1,993,886 996,943 2,990,830 1,495,415 4,486,246 2,243,123 6,729,370 3,364,685 10,094,056 5,047,028 2,523,514 1,261,757 3,785,272 1,892,636 946,318 473,159 1,419,478 709,739 2,129,218 1,064,609 3,193,828 1,596,914 798,457 2,395,372 1,197,686 598,843 1,796,530 898,265 2,694,796 1,347,398 673,699 2,021,098 1,010,549 3,031,648 1,515,824 757,912 378,956 189,478 94,739 284,218 142,109 426,328 213,164 106,582 53,291 159,874 79,937 239,812

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,301,655 Browse Full Index Next Integer #6,301,657 →