λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,111,024

2,111,024

24 × 131939
Deficient Even Composite

2,111,024 factors as 2^4 × 131939. Its 10 positive divisors give a proper-divisor sum of 1,979,116, so this integer is deficient. The Collatz stopping time is 73 steps.

Prime Factor Structure

Factorization String 2^4 × 131939
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 10
Divisor Sum (σ) 4,090,140
Proper Divisor Sum 1,979,116
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #2111023 ← → #2111029

Radix Representation

Decimal 2111024
Binary 1000000011011000110000 (22 bits)
Octal 0o10033060
Hexadecimal 0x203630

Divisor Catalog (10)

1 2 4 8 16 131,939 263,878 527,756 1,055,512 2,111,024

Collatz Trajectory (73 steps to reach 1)

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

2,111,024 1,055,512 527,756 263,878 131,939 395,818 197,909 593,728 296,864 148,432 74,216 37,108 18,554 9,277 27,832 13,916 6,958 3,479 10,438 5,219 15,658 7,829 23,488 11,744 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37 112 56 28 14 7 22 11

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,111,023 Browse Full Index Next Integer #2,111,025 →