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Atlas › Integer Profiles › Node 3,397,014

3,397,014

2 × 32 × 41 × 4603
Abundant Even Composite

3,397,014 factors as 2 × 3^2 × 41 × 4603. Its 24 positive divisors give a proper-divisor sum of 4,144,338, so this integer is abundant. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 41 × 4603
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,541,352
Proper Divisor Sum 4,144,338
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3397013 ← → #3397027

Radix Representation

Decimal 3397014
Binary 1100111101010110010110 (22 bits)
Octal 0o14752626
Hexadecimal 0x33D596

Divisor Catalog (24)

1 2 3 6 9 18 41 82 123 246 369 738 4,603 9,206 13,809 27,618 41,427 82,854 188,723 377,446 566,169 1,132,338 1,698,507 3,397,014

Collatz Trajectory (177 steps to reach 1)

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

3,397,014 1,698,507 5,095,522 2,547,761 7,643,284 3,821,642 1,910,821 5,732,464 2,866,232 1,433,116 716,558 358,279 1,074,838 537,419 1,612,258 806,129 2,418,388 1,209,194 604,597 1,813,792 906,896 453,448 226,724 113,362 56,681 170,044 85,022 42,511 127,534 63,767 191,302 95,651 286,954 143,477 430,432 215,216 107,608 53,804 26,902 13,451 40,354 20,177 60,532 30,266 15,133 45,400 22,700 11,350 5,675 17,026 8,513 25,540 12,770 6,385 19,156 9,578 4,789 14,368 7,184 3,592

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