λ
Ratio Atlas
Atlas › Integer Profiles › Node 36,734,112

36,734,112

25 × 32 × 127549
Abundant Even Composite

36,734,112 factors as 2^5 × 3^2 × 127549. Its 36 positive divisors give a proper-divisor sum of 67,729,338, so this integer is abundant. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 127549
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 104,463,450
Proper Divisor Sum 67,729,338
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #36734107 ← → #36734123

Radix Representation

Decimal 36734112
Binary 10001100001000010010100000 (26 bits)
Octal 0o214102240
Hexadecimal 0x23084A0

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 127,549 255,098 382,647 510,196 765,294 1,020,392 1,147,941 1,530,588 2,040,784 2,295,882 3,061,176 4,081,568 4,591,764 6,122,352 9,183,528 12,244,704 18,367,056 36,734,112

Collatz Trajectory (183 steps to reach 1)

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

36,734,112 18,367,056 9,183,528 4,591,764 2,295,882 1,147,941 3,443,824 1,721,912 860,956 430,478 215,239 645,718 322,859 968,578 484,289 1,452,868 726,434 363,217 1,089,652 544,826 272,413 817,240 408,620 204,310 102,155 306,466 153,233 459,700 229,850 114,925 344,776 172,388 86,194 43,097 129,292 64,646 32,323 96,970 48,485 145,456 72,728 36,364 18,182 9,091 27,274 13,637 40,912 20,456 10,228 5,114 2,557 7,672 3,836 1,918 959 2,878 1,439 4,318 2,159 6,478

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #36,734,111 Browse Full Index Next Integer #36,734,113 →