3,392,124

2² × 3 × 282677

3,392,124 factors as 2^2 × 3 × 282677. Its 12 positive divisors give a proper-divisor sum of 4,522,860, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 282677

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 7,914,984

Proper Divisor Sum 4,522,860

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3392111 ← → #3392161

Radix Representation

Decimal	3392124
Binary	1100111100001001111100 (22 bits)
Octal	0o14741174
Hexadecimal	0x33C27C

Divisor Catalog (12)

1 2 3 4 6 12 282,677 565,354 848,031 1,130,708 1,696,062 3,392,124

Collatz Trajectory (133 steps to reach 1)

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

3,392,124 1,696,062 848,031 2,544,094 1,272,047 3,816,142 1,908,071 5,724,214 2,862,107 8,586,322 4,293,161 12,879,484 6,439,742 3,219,871 9,659,614 4,829,807 14,489,422 7,244,711 21,734,134 10,867,067 32,601,202 16,300,601 48,901,804 24,450,902 12,225,451 36,676,354 18,338,177 55,014,532 27,507,266 13,753,633 41,260,900 20,630,450 10,315,225 30,945,676 15,472,838 7,736,419 23,209,258 11,604,629 34,813,888 17,406,944 8,703,472 4,351,736 2,175,868 1,087,934 543,967 1,631,902 815,951 2,447,854 1,223,927 3,671,782 1,835,891 5,507,674 2,753,837 8,261,512 4,130,756 2,065,378 1,032,689 3,098,068 1,549,034 774,517

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