1,968,656

2⁴ × 41 × 3001

1,968,656 factors as 2^4 × 41 × 3001. Its 20 positive divisors give a proper-divisor sum of 1,939,948, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2^4 × 41 × 3001

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 3,908,604

Proper Divisor Sum 1,939,948

Digit Sum / Digital Root 41 (Root: 5)

Adjacent Primes #1968641 ← → #1968679

Radix Representation

Decimal	1968656
Binary	111100000101000010000 (21 bits)
Octal	0o7405020
Hexadecimal	0x1E0A10

Divisor Catalog (20)

Collatz Trajectory (145 steps to reach 1)

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

1,968,656 984,328 492,164 246,082 123,041 369,124 184,562 92,281 276,844 138,422 69,211 207,634 103,817 311,452 155,726 77,863 233,590 116,795 350,386 175,193 525,580 262,790 131,395 394,186 197,093 591,280 295,640 147,820 73,910 36,955 110,866 55,433 166,300 83,150 41,575 124,726 62,363 187,090 93,545 280,636 140,318 70,159 210,478 105,239 315,718 157,859 473,578 236,789 710,368 355,184 177,592 88,796 44,398 22,199 66,598 33,299 99,898 49,949 149,848 74,924

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