6,980,144

2⁴ × 19 × 22961

6,980,144 factors as 2^4 × 19 × 22961. Its 20 positive divisors give a proper-divisor sum of 7,256,296, so this integer is abundant. The Collatz stopping time is 253 steps.

Prime Factor Structure

Factorization String 2^4 × 19 × 22961

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 14,236,440

Proper Divisor Sum 7,256,296

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #6980137 ← → #6980159

Radix Representation

Decimal	6980144
Binary	11010101000001000110000 (23 bits)
Octal	0o32501060
Hexadecimal	0x6A8230

Divisor Catalog (20)

Collatz Trajectory (253 steps to reach 1)

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

6,980,144 3,490,072 1,745,036 872,518 436,259 1,308,778 654,389 1,963,168 981,584 490,792 245,396 122,698 61,349 184,048 92,024 46,012 23,006 11,503 34,510 17,255 51,766 25,883 77,650 38,825 116,476 58,238 29,119 87,358 43,679 131,038 65,519 196,558 98,279 294,838 147,419 442,258 221,129 663,388 331,694 165,847 497,542 248,771 746,314 373,157 1,119,472 559,736 279,868 139,934 69,967 209,902 104,951 314,854 157,427 472,282 236,141 708,424 354,212 177,106 88,553 265,660

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