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Atlas › Integer Profiles › Node 3,929,072

3,929,072

24 × 7 × 35081
Abundant Even Composite

3,929,072 factors as 2^4 × 7 × 35081. Its 20 positive divisors give a proper-divisor sum of 4,771,264, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 35081
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 8,700,336
Proper Divisor Sum 4,771,264
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #3929063 ← → #3929099

Radix Representation

Decimal 3929072
Binary 1110111111001111110000 (22 bits)
Octal 0o16771760
Hexadecimal 0x3BF3F0

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 35,081 70,162 140,324 245,567 280,648 491,134 561,296 982,268 1,964,536 3,929,072

Collatz Trajectory (185 steps to reach 1)

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

3,929,072 1,964,536 982,268 491,134 245,567 736,702 368,351 1,105,054 552,527 1,657,582 828,791 2,486,374 1,243,187 3,729,562 1,864,781 5,594,344 2,797,172 1,398,586 699,293 2,097,880 1,048,940 524,470 262,235 786,706 393,353 1,180,060 590,030 295,015 885,046 442,523 1,327,570 663,785 1,991,356 995,678 497,839 1,493,518 746,759 2,240,278 1,120,139 3,360,418 1,680,209 5,040,628 2,520,314 1,260,157 3,780,472 1,890,236 945,118 472,559 1,417,678 708,839 2,126,518 1,063,259 3,189,778 1,594,889 4,784,668 2,392,334 1,196,167 3,588,502 1,794,251 5,382,754

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