λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,042,016

4,042,016

25 × 11 × 11483
Abundant Even Composite

4,042,016 factors as 2^5 × 11 × 11483. Its 24 positive divisors give a proper-divisor sum of 4,639,888, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 11483
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,681,904
Proper Divisor Sum 4,639,888
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #4042001 ← → #4042019

Radix Representation

Decimal 4042016
Binary 1111011010110100100000 (22 bits)
Octal 0o17326440
Hexadecimal 0x3DAD20

Divisor Catalog (24)

1 2 4 8 11 16 22 32 44 88 176 352 11,483 22,966 45,932 91,864 126,313 183,728 252,626 367,456 505,252 1,010,504 2,021,008 4,042,016

Collatz Trajectory (185 steps to reach 1)

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

4,042,016 2,021,008 1,010,504 505,252 252,626 126,313 378,940 189,470 94,735 284,206 142,103 426,310 213,155 639,466 319,733 959,200 479,600 239,800 119,900 59,950 29,975 89,926 44,963 134,890 67,445 202,336 101,168 50,584 25,292 12,646 6,323 18,970 9,485 28,456 14,228 7,114 3,557 10,672 5,336 2,668 1,334 667 2,002 1,001 3,004 1,502 751 2,254 1,127 3,382 1,691 5,074 2,537 7,612 3,806 1,903 5,710 2,855 8,566 4,283

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,042,015 Browse Full Index Next Integer #4,042,017 →