1,968,375

3 × 5³ × 29 × 181

1,968,375 factors as 3 × 5^3 × 29 × 181. Its 32 positive divisors give a proper-divisor sum of 1,438,665, so this integer is deficient. The Collatz stopping time is 122 steps.

Prime Factor Structure

Factorization String 3 × 5^3 × 29 × 181

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 3,407,040

Proper Divisor Sum 1,438,665

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #1968361 ← → #1968383

Radix Representation

Decimal	1968375
Binary	111100000100011110111 (21 bits)
Octal	0o7404367
Hexadecimal	0x1E08F7

Divisor Catalog (32)

Collatz Trajectory (122 steps to reach 1)

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

1,968,375 5,905,126 2,952,563 8,857,690 4,428,845 13,286,536 6,643,268 3,321,634 1,660,817 4,982,452 2,491,226 1,245,613 3,736,840 1,868,420 934,210 467,105 1,401,316 700,658 350,329 1,050,988 525,494 262,747 788,242 394,121 1,182,364 591,182 295,591 886,774 443,387 1,330,162 665,081 1,995,244 997,622 498,811 1,496,434 748,217 2,244,652 1,122,326 561,163 1,683,490 841,745 2,525,236 1,262,618 631,309 1,893,928 946,964 473,482 236,741 710,224 355,112 177,556 88,778 44,389 133,168 66,584 33,292 16,646 8,323 24,970 12,485

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