4,036,341

3 × 19² × 3727

4,036,341 factors as 3 × 19^2 × 3727. Its 12 positive divisors give a proper-divisor sum of 1,645,131, so this integer is deficient. The Collatz stopping time is 61 steps.

Prime Factor Structure

Factorization String 3 × 19^2 × 3727

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,681,472

Proper Divisor Sum 1,645,131

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #4036301 ← → #4036349

Radix Representation

Decimal	4036341
Binary	1111011001011011110101 (22 bits)
Octal	0o17313365
Hexadecimal	0x3D96F5

Divisor Catalog (12)

1 3 19 57 361 1,083 3,727 11,181 70,813 212,439 1,345,447 4,036,341

Collatz Trajectory (61 steps to reach 1)

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

4,036,341 12,109,024 6,054,512 3,027,256 1,513,628 756,814 378,407 1,135,222 567,611 1,702,834 851,417 2,554,252 1,277,126 638,563 1,915,690 957,845 2,873,536 1,436,768 718,384 359,192 179,596 89,798 44,899 134,698 67,349 202,048 101,024 50,512 25,256 12,628 6,314 3,157 9,472 4,736 2,368 1,184 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4

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