10,967,080

2³ × 5 × 274177

10,967,080 factors as 2^3 × 5 × 274177. Its 16 positive divisors give a proper-divisor sum of 13,708,940, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 274177

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 24,676,020

Proper Divisor Sum 13,708,940

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #10967071 ← → #10967083

Radix Representation

Decimal	10967080
Binary	101001110101100000101000 (24 bits)
Octal	0o51654050
Hexadecimal	0xA75828

Divisor Catalog (16)

1 2 4 5 8 10 20 40 274,177 548,354 1,096,708 1,370,885 2,193,416 2,741,770 5,483,540 10,967,080

Collatz Trajectory (109 steps to reach 1)

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

10,967,080 5,483,540 2,741,770 1,370,885 4,112,656 2,056,328 1,028,164 514,082 257,041 771,124 385,562 192,781 578,344 289,172 144,586 72,293 216,880 108,440 54,220 27,110 13,555 40,666 20,333 61,000 30,500 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937

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