λ
Ratio Atlas
Atlas › Integer Profiles › Node 21,231,728

21,231,728

24 × 7 × 163 × 1163
Abundant Even Composite

21,231,728 factors as 2^4 × 7 × 163 × 1163. Its 40 positive divisors give a proper-divisor sum of 26,110,480, so this integer is abundant. The Collatz stopping time is 159 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 163 × 1163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 47,342,208
Proper Divisor Sum 26,110,480
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #21231719 ← → #21231731

Radix Representation

Decimal 21231728
Binary 1010000111111100001110000 (25 bits)
Octal 0o120774160
Hexadecimal 0x143F870

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 112 163 326 652 1,141 1,163 1,304 2,282 2,326 2,608 4,564 4,652 8,141 9,128 9,304 16,282 18,256 18,608 32,564 65,128 130,256 189,569 379,138 758,276 1,326,983 1,516,552 2,653,966 3,033,104 5,307,932 10,615,864 21,231,728

Collatz Trajectory (159 steps to reach 1)

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

21,231,728 10,615,864 5,307,932 2,653,966 1,326,983 3,980,950 1,990,475 5,971,426 2,985,713 8,957,140 4,478,570 2,239,285 6,717,856 3,358,928 1,679,464 839,732 419,866 209,933 629,800 314,900 157,450 78,725 236,176 118,088 59,044 29,522 14,761 44,284 22,142 11,071 33,214 16,607 49,822 24,911 74,734 37,367 112,102 56,051 168,154 84,077 252,232 126,116 63,058 31,529 94,588 47,294 23,647 70,942 35,471 106,414 53,207 159,622 79,811 239,434 119,717 359,152 179,576 89,788 44,894 22,447

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 #21,231,727 Browse Full Index Next Integer #21,231,729 →