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Atlas › Integer Profiles › Node 4,448,990

4,448,990

2 × 5 × 7 × 13 × 4889
Abundant Even Composite

4,448,990 factors as 2 × 5 × 7 × 13 × 4889. Its 32 positive divisors give a proper-divisor sum of 5,409,250, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 13 × 4889
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,858,240
Proper Divisor Sum 5,409,250
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #4448989 ← → #4449017

Radix Representation

Decimal 4448990
Binary 10000111110001011011110 (23 bits)
Octal 0o20761336
Hexadecimal 0x43E2DE

Divisor Catalog (32)

1 2 5 7 10 13 14 26 35 65 70 91 130 182 455 910 4,889 9,778 24,445 34,223 48,890 63,557 68,446 127,114 171,115 317,785 342,230 444,899 635,570 889,798 2,224,495 4,448,990

Collatz Trajectory (180 steps to reach 1)

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

4,448,990 2,224,495 6,673,486 3,336,743 10,010,230 5,005,115 15,015,346 7,507,673 22,523,020 11,261,510 5,630,755 16,892,266 8,446,133 25,338,400 12,669,200 6,334,600 3,167,300 1,583,650 791,825 2,375,476 1,187,738 593,869 1,781,608 890,804 445,402 222,701 668,104 334,052 167,026 83,513 250,540 125,270 62,635 187,906 93,953 281,860 140,930 70,465 211,396 105,698 52,849 158,548 79,274 39,637 118,912 59,456 29,728 14,864 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785

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