3,132,844

2² × 11 × 13 × 5477

3,132,844 factors as 2^2 × 11 × 13 × 5477. Its 24 positive divisors give a proper-divisor sum of 3,309,284, so this integer is abundant. The Collatz stopping time is 133 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 13 × 5477

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,442,128

Proper Divisor Sum 3,309,284

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #3132839 ← → #3132847

Radix Representation

Decimal	3132844
Binary	1011111100110110101100 (22 bits)
Octal	0o13746654
Hexadecimal	0x2FCDAC

Divisor Catalog (24)

Collatz Trajectory (133 steps to reach 1)

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

3,132,844 1,566,422 783,211 2,349,634 1,174,817 3,524,452 1,762,226 881,113 2,643,340 1,321,670 660,835 1,982,506 991,253 2,973,760 1,486,880 743,440 371,720 185,860 92,930 46,465 139,396 69,698 34,849 104,548 52,274 26,137 78,412 39,206 19,603 58,810 29,405 88,216 44,108 22,054 11,027 33,082 16,541 49,624 24,812 12,406 6,203 18,610 9,305 27,916 13,958 6,979 20,938 10,469 31,408 15,704 7,852 3,926 1,963 5,890 2,945 8,836 4,418 2,209 6,628 3,314

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