λ
Ratio Atlas
Atlas › Integer Profiles › Node 11,040,064

11,040,064

26 × 7 × 19 × 1297
Abundant Even Composite

11,040,064 factors as 2^6 × 7 × 19 × 1297. Its 56 positive divisors give a proper-divisor sum of 15,335,296, so this integer is abundant. The Collatz stopping time is 39 steps.

Prime Factor Structure

Factorization String 2^6 × 7 × 19 × 1297
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 26,375,360
Proper Divisor Sum 15,335,296
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #11040047 ← → #11040067

Radix Representation

Decimal 11040064
Binary 101010000111010101000000 (24 bits)
Octal 0o52072500
Hexadecimal 0xA87540

Divisor Catalog (56)

1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1,064 1,216 1,297 2,128 2,594 4,256 5,188 8,512 9,079 10,376 18,158 20,752 24,643 36,316 41,504 49,286 72,632 83,008 98,572 145,264 172,501 197,144 290,528 345,002 394,288 581,056 690,004 788,576 1,380,008 1,577,152 2,760,016 5,520,032 11,040,064

Collatz Trajectory (39 steps to reach 1)

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

11,040,064 5,520,032 2,760,016 1,380,008 690,004 345,002 172,501 517,504 258,752 129,376 64,688 32,344 16,172 8,086 4,043 12,130 6,065 18,196 9,098 4,549 13,648 6,824 3,412 1,706 853 2,560 1,280 640 320 160 80 40 20 10 5 16 8 4 2 1

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #11,040,063 Browse Full Index Next Integer #11,040,065 →