λ
Ratio Atlas
Atlas › Integer Profiles › Node 3,607,340

3,607,340

22 × 5 × 11 × 19 × 863
Abundant Even Composite

3,607,340 factors as 2^2 × 5 × 11 × 19 × 863. Its 48 positive divisors give a proper-divisor sum of 5,101,780, so this integer is abundant. The Collatz stopping time is 141 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 19 × 863
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 8,709,120
Proper Divisor Sum 5,101,780
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3607327 ← → #3607361

Radix Representation

Decimal 3607340
Binary 1101110000101100101100 (22 bits)
Octal 0o15605454
Hexadecimal 0x370B2C

Divisor Catalog (48)

1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 380 418 836 863 1,045 1,726 2,090 3,452 4,180 4,315 8,630 9,493 16,397 17,260 18,986 32,794 37,972 47,465 65,588 81,985 94,930 163,970 180,367 189,860 327,940 360,734 721,468 901,835 1,803,670 3,607,340

Collatz Trajectory (141 steps to reach 1)

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

3,607,340 1,803,670 901,835 2,705,506 1,352,753 4,058,260 2,029,130 1,014,565 3,043,696 1,521,848 760,924 380,462 190,231 570,694 285,347 856,042 428,021 1,284,064 642,032 321,016 160,508 80,254 40,127 120,382 60,191 180,574 90,287 270,862 135,431 406,294 203,147 609,442 304,721 914,164 457,082 228,541 685,624 342,812 171,406 85,703 257,110 128,555 385,666 192,833 578,500 289,250 144,625 433,876 216,938 108,469 325,408 162,704 81,352 40,676 20,338 10,169 30,508 15,254 7,627 22,882

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,607,339 Browse Full Index Next Integer #3,607,341 →