3,127,292

2² × 7 × 67 × 1667

3,127,292 factors as 2^2 × 7 × 67 × 1667. Its 24 positive divisors give a proper-divisor sum of 3,224,452, so this integer is abundant. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 67 × 1667

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,351,744

Proper Divisor Sum 3,224,452

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3127291 ← → #3127297

Radix Representation

Decimal	3127292
Binary	1011111011011111111100 (22 bits)
Octal	0o13733774
Hexadecimal	0x2FB7FC

Divisor Catalog (24)

Collatz Trajectory (195 steps to reach 1)

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

3,127,292 1,563,646 781,823 2,345,470 1,172,735 3,518,206 1,759,103 5,277,310 2,638,655 7,915,966 3,957,983 11,873,950 5,936,975 17,810,926 8,905,463 26,716,390 13,358,195 40,074,586 20,037,293 60,111,880 30,055,940 15,027,970 7,513,985 22,541,956 11,270,978 5,635,489 16,906,468 8,453,234 4,226,617 12,679,852 6,339,926 3,169,963 9,509,890 4,754,945 14,264,836 7,132,418 3,566,209 10,698,628 5,349,314 2,674,657 8,023,972 4,011,986 2,005,993 6,017,980 3,008,990 1,504,495 4,513,486 2,256,743 6,770,230 3,385,115 10,155,346 5,077,673 15,233,020 7,616,510 3,808,255 11,424,766 5,712,383 17,137,150 8,568,575 25,705,726

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