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Atlas › Integer Profiles › Node 22,015,240

22,015,240

23 × 5 × 13 × 42337
Abundant Even Composite

22,015,240 factors as 2^3 × 5 × 13 × 42337. Its 32 positive divisors give a proper-divisor sum of 31,330,640, so this integer is abundant. The Collatz stopping time is 296 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 13 × 42337
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 53,345,880
Proper Divisor Sum 31,330,640
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #22015219 ← → #22015241

Radix Representation

Decimal 22015240
Binary 1010011111110110100001000 (25 bits)
Octal 0o123766410
Hexadecimal 0x14FED08

Divisor Catalog (32)

1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 42,337 84,674 169,348 211,685 338,696 423,370 550,381 846,740 1,100,762 1,693,480 2,201,524 2,751,905 4,403,048 5,503,810 11,007,620 22,015,240

Collatz Trajectory (296 steps to reach 1)

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

22,015,240 11,007,620 5,503,810 2,751,905 8,255,716 4,127,858 2,063,929 6,191,788 3,095,894 1,547,947 4,643,842 2,321,921 6,965,764 3,482,882 1,741,441 5,224,324 2,612,162 1,306,081 3,918,244 1,959,122 979,561 2,938,684 1,469,342 734,671 2,204,014 1,102,007 3,306,022 1,653,011 4,959,034 2,479,517 7,438,552 3,719,276 1,859,638 929,819 2,789,458 1,394,729 4,184,188 2,092,094 1,046,047 3,138,142 1,569,071 4,707,214 2,353,607 7,060,822 3,530,411 10,591,234 5,295,617 15,886,852 7,943,426 3,971,713 11,915,140 5,957,570 2,978,785 8,936,356 4,468,178 2,234,089 6,702,268 3,351,134 1,675,567 5,026,702

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