λ
Ratio Atlas
Atlas › Integer Profiles › Node 52,812,344

52,812,344

23 × 13 × 31 × 16381
Abundant Even Composite

52,812,344 factors as 2^3 × 13 × 31 × 16381. Its 32 positive divisors give a proper-divisor sum of 57,274,696, so this integer is abundant. The Collatz stopping time is 150 steps.

Prime Factor Structure

Factorization String 2^3 × 13 × 31 × 16381
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 110,087,040
Proper Divisor Sum 57,274,696
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #52812341 ← → #52812373

Radix Representation

Decimal 52812344
Binary 11001001011101101000111000 (26 bits)
Octal 0o311355070
Hexadecimal 0x325DA38

Divisor Catalog (32)

1 2 4 8 13 26 31 52 62 104 124 248 403 806 1,612 3,224 16,381 32,762 65,524 131,048 212,953 425,906 507,811 851,812 1,015,622 1,703,624 2,031,244 4,062,488 6,601,543 13,203,086 26,406,172 52,812,344

Collatz Trajectory (150 steps to reach 1)

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

52,812,344 26,406,172 13,203,086 6,601,543 19,804,630 9,902,315 29,706,946 14,853,473 44,560,420 22,280,210 11,140,105 33,420,316 16,710,158 8,355,079 25,065,238 12,532,619 37,597,858 18,798,929 56,396,788 28,198,394 14,099,197 42,297,592 21,148,796 10,574,398 5,287,199 15,861,598 7,930,799 23,792,398 11,896,199 35,688,598 17,844,299 53,532,898 26,766,449 80,299,348 40,149,674 20,074,837 60,224,512 30,112,256 15,056,128 7,528,064 3,764,032 1,882,016 941,008 470,504 235,252 117,626 58,813 176,440 88,220 44,110 22,055 66,166 33,083 99,250 49,625 148,876 74,438 37,219 111,658 55,829

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #52,812,343 Browse Full Index Next Integer #52,812,345 →