1,395,846

2 × 3³ × 25849

1,395,846 factors as 2 × 3^3 × 25849. Its 16 positive divisors give a proper-divisor sum of 1,706,154, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 25849

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 3,102,000

Proper Divisor Sum 1,706,154

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #1395839 ← → #1395859

Radix Representation

Decimal	1395846
Binary	101010100110010000110 (21 bits)
Octal	0o5246206
Hexadecimal	0x154C86

Divisor Catalog (16)

1 2 3 6 9 18 27 54 25,849 51,698 77,547 155,094 232,641 465,282 697,923 1,395,846

Collatz Trajectory (80 steps to reach 1)

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

1,395,846 697,923 2,093,770 1,046,885 3,140,656 1,570,328 785,164 392,582 196,291 588,874 294,437 883,312 441,656 220,828 110,414 55,207 165,622 82,811 248,434 124,217 372,652 186,326 93,163 279,490 139,745 419,236 209,618 104,809 314,428 157,214 78,607 235,822 117,911 353,734 176,867 530,602 265,301 795,904 397,952 198,976 99,488 49,744 24,872 12,436 6,218 3,109 9,328 4,664 2,332 1,166 583 1,750 875 2,626 1,313 3,940 1,970 985 2,956 1,478

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