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Atlas › Integer Profiles › Node 3,968,262

3,968,262

2 × 32 × 449 × 491
Abundant Even Composite

3,968,262 factors as 2 × 3^2 × 449 × 491. Its 24 positive divisors give a proper-divisor sum of 4,666,338, so this integer is abundant. The Collatz stopping time is 185 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 449 × 491
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,634,600
Proper Divisor Sum 4,666,338
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3968231 ← → #3968291

Radix Representation

Decimal 3968262
Binary 1111001000110100000110 (22 bits)
Octal 0o17106406
Hexadecimal 0x3C8D06

Divisor Catalog (24)

1 2 3 6 9 18 449 491 898 982 1,347 1,473 2,694 2,946 4,041 4,419 8,082 8,838 220,459 440,918 661,377 1,322,754 1,984,131 3,968,262

Collatz Trajectory (185 steps to reach 1)

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

3,968,262 1,984,131 5,952,394 2,976,197 8,928,592 4,464,296 2,232,148 1,116,074 558,037 1,674,112 837,056 418,528 209,264 104,632 52,316 26,158 13,079 39,238 19,619 58,858 29,429 88,288 44,144 22,072 11,036 5,518 2,759 8,278 4,139 12,418 6,209 18,628 9,314 4,657 13,972 6,986 3,493 10,480 5,240 2,620 1,310 655 1,966 983 2,950 1,475 4,426 2,213 6,640 3,320 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210

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