λ
Ratio Atlas
Atlas › Integer Profiles › Node 1,813,520

1,813,520

24 × 5 × 22669
Abundant Even Composite

1,813,520 factors as 2^4 × 5 × 22669. Its 20 positive divisors give a proper-divisor sum of 2,403,100, so this integer is abundant. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 22669
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 4,216,620
Proper Divisor Sum 2,403,100
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1813517 ← → #1813523

Radix Representation

Decimal 1813520
Binary 110111010110000010000 (21 bits)
Octal 0o6726020
Hexadecimal 0x1BAC10

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 22,669 45,338 90,676 113,345 181,352 226,690 362,704 453,380 906,760 1,813,520

Collatz Trajectory (65 steps to reach 1)

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

1,813,520 906,760 453,380 226,690 113,345 340,036 170,018 85,009 255,028 127,514 63,757 191,272 95,636 47,818 23,909 71,728 35,864 17,932 8,966 4,483 13,450 6,725 20,176 10,088 5,044 2,522 1,261 3,784 1,892 946 473 1,420 710 355 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10

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 #1,813,519 Browse Full Index Next Integer #1,813,521 →