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Atlas › Integer Profiles › Node 3,240,534

3,240,534

2 × 3 × 11 × 37 × 1327
Abundant Even Composite

3,240,534 factors as 2 × 3 × 11 × 37 × 1327. Its 32 positive divisors give a proper-divisor sum of 4,026,282, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 37 × 1327
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 7,266,816
Proper Divisor Sum 4,026,282
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3240529 ← → #3240551

Radix Representation

Decimal 3240534
Binary 1100010111001001010110 (22 bits)
Octal 0o14271126
Hexadecimal 0x317256

Divisor Catalog (32)

1 2 3 6 11 22 33 37 66 74 111 222 407 814 1,221 1,327 2,442 2,654 3,981 7,962 14,597 29,194 43,791 49,099 87,582 98,198 147,297 294,594 540,089 1,080,178 1,620,267 3,240,534

Collatz Trajectory (115 steps to reach 1)

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

3,240,534 1,620,267 4,860,802 2,430,401 7,291,204 3,645,602 1,822,801 5,468,404 2,734,202 1,367,101 4,101,304 2,050,652 1,025,326 512,663 1,537,990 768,995 2,306,986 1,153,493 3,460,480 1,730,240 865,120 432,560 216,280 108,140 54,070 27,035 81,106 40,553 121,660 60,830 30,415 91,246 45,623 136,870 68,435 205,306 102,653 307,960 153,980 76,990 38,495 115,486 57,743 173,230 86,615 259,846 129,923 389,770 194,885 584,656 292,328 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555

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