1,968,409

23² × 61²

1,968,409 factors as 23^2 × 61^2. Its 9 positive divisors give a proper-divisor sum of 123,590, so this integer is deficient. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 23^2 × 61^2

Distinct Prime Factors 2

Square Status Yes (√1968409 = 1403)

Abundance Measure Deficient

Analytical Properties

Total Divisors 9

Divisor Sum (σ) 2,091,999

Proper Divisor Sum 123,590

Digit Sum / Digital Root 37 (Root: 1)

Adjacent Primes #1968403 ← → #1968427

Radix Representation

Decimal	1968409
Binary	111100000100100011001 (21 bits)
Octal	0o7404431
Hexadecimal	0x1E0919

Divisor Catalog (9)

1 23 61 529 1,403 3,721 32,269 85,583 1,968,409

Collatz Trajectory (109 steps to reach 1)

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

1,968,409 5,905,228 2,952,614 1,476,307 4,428,922 2,214,461 6,643,384 3,321,692 1,660,846 830,423 2,491,270 1,245,635 3,736,906 1,868,453 5,605,360 2,802,680 1,401,340 700,670 350,335 1,051,006 525,503 1,576,510 788,255 2,364,766 1,182,383 3,547,150 1,773,575 5,320,726 2,660,363 7,981,090 3,990,545 11,971,636 5,985,818 2,992,909 8,978,728 4,489,364 2,244,682 1,122,341 3,367,024 1,683,512 841,756 420,878 210,439 631,318 315,659 946,978 473,489 1,420,468 710,234 355,117 1,065,352 532,676 266,338 133,169 399,508 199,754 99,877 299,632 149,816 74,908

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