λ
Ratio Atlas
Atlas › Integer Profiles › Node 18,703,648

18,703,648

25 × 37 × 15797
Abundant Even Composite

18,703,648 factors as 2^5 × 37 × 15797. Its 24 positive divisors give a proper-divisor sum of 19,116,764, so this integer is abundant. The Collatz stopping time is 301 steps.

Prime Factor Structure

Factorization String 2^5 × 37 × 15797
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 37,820,412
Proper Divisor Sum 19,116,764
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #18703627 ← → #18703687

Radix Representation

Decimal 18703648
Binary 1000111010110010100100000 (25 bits)
Octal 0o107262440
Hexadecimal 0x11D6520

Divisor Catalog (24)

1 2 4 8 16 32 37 74 148 296 592 1,184 15,797 31,594 63,188 126,376 252,752 505,504 584,489 1,168,978 2,337,956 4,675,912 9,351,824 18,703,648

Collatz Trajectory (301 steps to reach 1)

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

18,703,648 9,351,824 4,675,912 2,337,956 1,168,978 584,489 1,753,468 876,734 438,367 1,315,102 657,551 1,972,654 986,327 2,958,982 1,479,491 4,438,474 2,219,237 6,657,712 3,328,856 1,664,428 832,214 416,107 1,248,322 624,161 1,872,484 936,242 468,121 1,404,364 702,182 351,091 1,053,274 526,637 1,579,912 789,956 394,978 197,489 592,468 296,234 148,117 444,352 222,176 111,088 55,544 27,772 13,886 6,943 20,830 10,415 31,246 15,623 46,870 23,435 70,306 35,153 105,460 52,730 26,365 79,096 39,548 19,774

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 #18,703,647 Browse Full Index Next Integer #18,703,649 →