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Atlas › Integer Profiles › Node 13,444,060

13,444,060

22 × 5 × 7 × 109 × 881
Abundant Even Composite

13,444,060 factors as 2^2 × 5 × 7 × 109 × 881. Its 48 positive divisors give a proper-divisor sum of 19,154,660, so this integer is abundant. The Collatz stopping time is 117 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 109 × 881
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,598,720
Proper Divisor Sum 19,154,660
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #13444043 ← → #13444069

Radix Representation

Decimal 13444060
Binary 110011010010001111011100 (24 bits)
Octal 0o63221734
Hexadecimal 0xCD23DC

Divisor Catalog (48)

1 2 4 5 7 10 14 20 28 35 70 109 140 218 436 545 763 881 1,090 1,526 1,762 2,180 3,052 3,524 3,815 4,405 6,167 7,630 8,810 12,334 15,260 17,620 24,668 30,835 61,670 96,029 123,340 192,058 384,116 480,145 672,203 960,290 1,344,406 1,920,580 2,688,812 3,361,015 6,722,030 13,444,060

Collatz Trajectory (117 steps to reach 1)

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

13,444,060 6,722,030 3,361,015 10,083,046 5,041,523 15,124,570 7,562,285 22,686,856 11,343,428 5,671,714 2,835,857 8,507,572 4,253,786 2,126,893 6,380,680 3,190,340 1,595,170 797,585 2,392,756 1,196,378 598,189 1,794,568 897,284 448,642 224,321 672,964 336,482 168,241 504,724 252,362 126,181 378,544 189,272 94,636 47,318 23,659 70,978 35,489 106,468 53,234 26,617 79,852 39,926 19,963 59,890 29,945 89,836 44,918 22,459 67,378 33,689 101,068 50,534 25,267 75,802 37,901 113,704 56,852 28,426 14,213

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