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Atlas › Integer Profiles › Node 2,632,224

2,632,224

25 × 3 × 7 × 3917
Abundant Even Composite

2,632,224 factors as 2^5 × 3 × 7 × 3917. Its 48 positive divisors give a proper-divisor sum of 5,266,464, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^5 × 3 × 7 × 3917
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,898,688
Proper Divisor Sum 5,266,464
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #2632219 ← → #2632247

Radix Representation

Decimal 2632224
Binary 1010000010101000100000 (22 bits)
Octal 0o12025040
Hexadecimal 0x282A20

Divisor Catalog (48)

1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 3,917 7,834 11,751 15,668 23,502 27,419 31,336 47,004 54,838 62,672 82,257 94,008 109,676 125,344 164,514 188,016 219,352 329,028 376,032 438,704 658,056 877,408 1,316,112 2,632,224

Collatz Trajectory (143 steps to reach 1)

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

2,632,224 1,316,112 658,056 329,028 164,514 82,257 246,772 123,386 61,693 185,080 92,540 46,270 23,135 69,406 34,703 104,110 52,055 156,166 78,083 234,250 117,125 351,376 175,688 87,844 43,922 21,961 65,884 32,942 16,471 49,414 24,707 74,122 37,061 111,184 55,592 27,796 13,898 6,949 20,848 10,424 5,212 2,606 1,303 3,910 1,955 5,866 2,933 8,800 4,400 2,200 1,100 550 275 826 413 1,240 620 310 155 466

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