4,134,864

2⁴ × 3 × 86143

4,134,864 factors as 2^4 × 3 × 86143. Its 20 positive divisors give a proper-divisor sum of 6,546,992, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 86143

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 10,681,856

Proper Divisor Sum 6,546,992

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #4134857 ← → #4134869

Radix Representation

Decimal	4134864
Binary	1111110001011111010000 (22 bits)
Octal	0o17613720
Hexadecimal	0x3F17D0

Divisor Catalog (20)

Collatz Trajectory (105 steps to reach 1)

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

4,134,864 2,067,432 1,033,716 516,858 258,429 775,288 387,644 193,822 96,911 290,734 145,367 436,102 218,051 654,154 327,077 981,232 490,616 245,308 122,654 61,327 183,982 91,991 275,974 137,987 413,962 206,981 620,944 310,472 155,236 77,618 38,809 116,428 58,214 29,107 87,322 43,661 130,984 65,492 32,746 16,373 49,120 24,560 12,280 6,140 3,070 1,535 4,606 2,303 6,910 3,455 10,366 5,183 15,550 7,775 23,326 11,663 34,990 17,495 52,486 26,243

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