λ
Ratio Atlas
Atlas › Integer Profiles › Node 13,382,200

13,382,200

23 × 52 × 13 × 5147
Abundant Even Composite

13,382,200 factors as 2^3 × 5^2 × 13 × 5147. Its 48 positive divisors give a proper-divisor sum of 20,131,280, so this integer is abundant. The Collatz stopping time is 60 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 13 × 5147
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 33,513,480
Proper Divisor Sum 20,131,280
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #13382191 ← → #13382207

Radix Representation

Decimal 13382200
Binary 110011000011001000111000 (24 bits)
Octal 0o63031070
Hexadecimal 0xCC3238

Divisor Catalog (48)

1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1,300 2,600 5,147 10,294 20,588 25,735 41,176 51,470 66,911 102,940 128,675 133,822 205,880 257,350 267,644 334,555 514,700 535,288 669,110 1,029,400 1,338,220 1,672,775 2,676,440 3,345,550 6,691,100 13,382,200

Collatz Trajectory (60 steps to reach 1)

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

13,382,200 6,691,100 3,345,550 1,672,775 5,018,326 2,509,163 7,527,490 3,763,745 11,291,236 5,645,618 2,822,809 8,468,428 4,234,214 2,117,107 6,351,322 3,175,661 9,526,984 4,763,492 2,381,746 1,190,873 3,572,620 1,786,310 893,155 2,679,466 1,339,733 4,019,200 2,009,600 1,004,800 502,400 251,200 125,600 62,800 31,400 15,700 7,850 3,925 11,776 5,888 2,944 1,472 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2

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 #13,382,199 Browse Full Index Next Integer #13,382,201 →