2,967,424

2⁷ × 97 × 239

For 2,967,424, the 32 positive divisors have a total of 5,997,600. Removing 2,967,424 leaves 3,030,176, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^7 × 97 × 239

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 5,997,600

Proper Divisor Sum 3,030,176

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #2967421 ← → #2967427

Radix Representation

Decimal	2967424
Binary	1011010100011110000000 (22 bits)
Octal	0o13243600
Hexadecimal	0x2D4780

Divisor Catalog (32)

1 2 4 8 16 32 64 97 128 194 239 388 478 776 956 1,552 1,912 3,104 3,824 6,208 7,648 12,416 15,296 23,183 30,592 46,366 92,732 185,464 370,928 741,856 1,483,712 2,967,424

Collatz Trajectory (94 steps to reach 1)

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

2,967,424 1,483,712 741,856 370,928 185,464 92,732 46,366 23,183 69,550 34,775 104,326 52,163 156,490 78,245 234,736 117,368 58,684 29,342 14,671 44,014 22,007 66,022 33,011 99,034 49,517 148,552 74,276 37,138 18,569 55,708 27,854 13,927 41,782 20,891 62,674 31,337 94,012 47,006 23,503 70,510 35,255 105,766 52,883 158,650 79,325 237,976 118,988 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100 12,550 6,275 18,826

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