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Atlas › Integer Profiles › Node 4,201,734

4,201,734

2 × 3 × 53 × 73 × 181
Abundant Even Composite

4,201,734 factors as 2 × 3 × 53 × 73 × 181. Its 32 positive divisors give a proper-divisor sum of 4,525,530, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2 × 3 × 53 × 73 × 181
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,727,264
Proper Divisor Sum 4,525,530
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #4201727 ← → #4201739

Radix Representation

Decimal 4201734
Binary 10000000001110100000110 (23 bits)
Octal 0o20016406
Hexadecimal 0x401D06

Divisor Catalog (32)

1 2 3 6 53 73 106 146 159 181 219 318 362 438 543 1,086 3,869 7,738 9,593 11,607 13,213 19,186 23,214 26,426 28,779 39,639 57,558 79,278 700,289 1,400,578 2,100,867 4,201,734

Collatz Trajectory (105 steps to reach 1)

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

4,201,734 2,100,867 6,302,602 3,151,301 9,453,904 4,726,952 2,363,476 1,181,738 590,869 1,772,608 886,304 443,152 221,576 110,788 55,394 27,697 83,092 41,546 20,773 62,320 31,160 15,580 7,790 3,895 11,686 5,843 17,530 8,765 26,296 13,148 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742

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