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Atlas › Integer Profiles › Node 7,204,734

7,204,734

2 × 33 × 101 × 1321
Abundant Even Composite

7,204,734 factors as 2 × 3^3 × 101 × 1321. Its 32 positive divisors give a proper-divisor sum of 8,976,546, so this integer is abundant. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 101 × 1321
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 16,181,280
Proper Divisor Sum 8,976,546
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7204733 ← → #7204739

Radix Representation

Decimal 7204734
Binary 11011011110111101111110 (23 bits)
Octal 0o33367576
Hexadecimal 0x6DEF7E

Divisor Catalog (32)

1 2 3 6 9 18 27 54 101 202 303 606 909 1,321 1,818 2,642 2,727 3,963 5,454 7,926 11,889 23,778 35,667 71,334 133,421 266,842 400,263 800,526 1,200,789 2,401,578 3,602,367 7,204,734

Collatz Trajectory (266 steps to reach 1)

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

7,204,734 3,602,367 10,807,102 5,403,551 16,210,654 8,105,327 24,315,982 12,157,991 36,473,974 18,236,987 54,710,962 27,355,481 82,066,444 41,033,222 20,516,611 61,549,834 30,774,917 92,324,752 46,162,376 23,081,188 11,540,594 5,770,297 17,310,892 8,655,446 4,327,723 12,983,170 6,491,585 19,474,756 9,737,378 4,868,689 14,606,068 7,303,034 3,651,517 10,954,552 5,477,276 2,738,638 1,369,319 4,107,958 2,053,979 6,161,938 3,080,969 9,242,908 4,621,454 2,310,727 6,932,182 3,466,091 10,398,274 5,199,137 15,597,412 7,798,706 3,899,353 11,698,060 5,849,030 2,924,515 8,773,546 4,386,773 13,160,320 6,580,160 3,290,080 1,645,040

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