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Atlas › Integer Profiles › Node 3,442,000

3,442,000

24 × 53 × 1721
Abundant Even Composite

3,442,000 factors as 2^4 × 5^3 × 1721. Its 40 positive divisors give a proper-divisor sum of 4,885,592, so this integer is abundant. The Collatz stopping time is 53 steps.

Prime Factor Structure

Factorization String 2^4 × 5^3 × 1721
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,327,592
Proper Divisor Sum 4,885,592
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #3441989 ← → #3442027

Radix Representation

Decimal 3442000
Binary 1101001000010101010000 (22 bits)
Octal 0o15102520
Hexadecimal 0x348550

Divisor Catalog (40)

1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1,000 1,721 2,000 3,442 6,884 8,605 13,768 17,210 27,536 34,420 43,025 68,840 86,050 137,680 172,100 215,125 344,200 430,250 688,400 860,500 1,721,000 3,442,000

Collatz Trajectory (53 steps to reach 1)

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

3,442,000 1,721,000 860,500 430,250 215,125 645,376 322,688 161,344 80,672 40,336 20,168 10,084 5,042 2,521 7,564 3,782 1,891 5,674 2,837 8,512 4,256 2,128 1,064 532 266 133 400 200 100 50 25 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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