λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,407,344

5,407,344

24 × 33 × 12517
Abundant Even Composite

5,407,344 factors as 2^4 × 3^3 × 12517. Its 40 positive divisors give a proper-divisor sum of 10,114,976, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^4 × 3^3 × 12517
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 15,522,320
Proper Divisor Sum 10,114,976
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5407333 ← → #5407349

Radix Representation

Decimal 5407344
Binary 10100101000001001110000 (23 bits)
Octal 0o24501160
Hexadecimal 0x528270

Divisor Catalog (40)

1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 12,517 25,034 37,551 50,068 75,102 100,136 112,653 150,204 200,272 225,306 300,408 337,959 450,612 600,816 675,918 901,224 1,351,836 1,802,448 2,703,672 5,407,344

Collatz Trajectory (144 steps to reach 1)

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

5,407,344 2,703,672 1,351,836 675,918 337,959 1,013,878 506,939 1,520,818 760,409 2,281,228 1,140,614 570,307 1,710,922 855,461 2,566,384 1,283,192 641,596 320,798 160,399 481,198 240,599 721,798 360,899 1,082,698 541,349 1,624,048 812,024 406,012 203,006 101,503 304,510 152,255 456,766 228,383 685,150 342,575 1,027,726 513,863 1,541,590 770,795 2,312,386 1,156,193 3,468,580 1,734,290 867,145 2,601,436 1,300,718 650,359 1,951,078 975,539 2,926,618 1,463,309 4,389,928 2,194,964 1,097,482 548,741 1,646,224 823,112 411,556 205,778

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,407,343 Browse Full Index Next Integer #5,407,345 →