λ
Ratio Atlas
Atlas › Integer Profiles › Node 15,394,016

15,394,016

25 × 11 × 101 × 433
Abundant Even Composite

15,394,016 factors as 2^5 × 11 × 101 × 433. Its 48 positive divisors give a proper-divisor sum of 18,072,592, so this integer is abundant. The Collatz stopping time is 218 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 101 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 33,466,608
Proper Divisor Sum 18,072,592
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #15394003 ← → #15394031

Radix Representation

Decimal 15394016
Binary 111010101110010011100000 (24 bits)
Octal 0o72562340
Hexadecimal 0xEAE4E0

Divisor Catalog (48)

1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 433 808 866 1,111 1,616 1,732 2,222 3,232 3,464 4,444 4,763 6,928 8,888 9,526 13,856 17,776 19,052 35,552 38,104 43,733 76,208 87,466 152,416 174,932 349,864 481,063 699,728 962,126 1,399,456 1,924,252 3,848,504 7,697,008 15,394,016

Collatz Trajectory (218 steps to reach 1)

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

15,394,016 7,697,008 3,848,504 1,924,252 962,126 481,063 1,443,190 721,595 2,164,786 1,082,393 3,247,180 1,623,590 811,795 2,435,386 1,217,693 3,653,080 1,826,540 913,270 456,635 1,369,906 684,953 2,054,860 1,027,430 513,715 1,541,146 770,573 2,311,720 1,155,860 577,930 288,965 866,896 433,448 216,724 108,362 54,181 162,544 81,272 40,636 20,318 10,159 30,478 15,239 45,718 22,859 68,578 34,289 102,868 51,434 25,717 77,152 38,576 19,288 9,644 4,822 2,411 7,234 3,617 10,852 5,426 2,713

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #15,394,015 Browse Full Index Next Integer #15,394,017 →