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Atlas › Integer Profiles › Node 2,263,352

2,263,352

23 × 7 × 13 × 3109
Abundant Even Composite

2,263,352 factors as 2^3 × 7 × 13 × 3109. Its 32 positive divisors give a proper-divisor sum of 2,961,448, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 13 × 3109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,224,800
Proper Divisor Sum 2,961,448
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #2263321 ← → #2263357

Radix Representation

Decimal 2263352
Binary 1000101000100100111000 (22 bits)
Octal 0o10504470
Hexadecimal 0x228938

Divisor Catalog (32)

1 2 4 7 8 13 14 26 28 52 56 91 104 182 364 728 3,109 6,218 12,436 21,763 24,872 40,417 43,526 80,834 87,052 161,668 174,104 282,919 323,336 565,838 1,131,676 2,263,352

Collatz Trajectory (86 steps to reach 1)

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

2,263,352 1,131,676 565,838 282,919 848,758 424,379 1,273,138 636,569 1,909,708 954,854 477,427 1,432,282 716,141 2,148,424 1,074,212 537,106 268,553 805,660 402,830 201,415 604,246 302,123 906,370 453,185 1,359,556 679,778 339,889 1,019,668 509,834 254,917 764,752 382,376 191,188 95,594 47,797 143,392 71,696 35,848 17,924 8,962 4,481 13,444 6,722 3,361 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400

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