1,689,596

2² × 17 × 24847

1,689,596 factors as 2^2 × 17 × 24847. Its 12 positive divisors give a proper-divisor sum of 1,441,252, so this integer is deficient. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 24847

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 3,130,848

Proper Divisor Sum 1,441,252

Digit Sum / Digital Root 44 (Root: 8)

Adjacent Primes #1689553 ← → #1689601

Radix Representation

Decimal	1689596
Binary	110011100011111111100 (21 bits)
Octal	0o6343774
Hexadecimal	0x19C7FC

Divisor Catalog (12)

1 2 4 17 34 68 24,847 49,694 99,388 422,399 844,798 1,689,596

Collatz Trajectory (251 steps to reach 1)

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

1,689,596 844,798 422,399 1,267,198 633,599 1,900,798 950,399 2,851,198 1,425,599 4,276,798 2,138,399 6,415,198 3,207,599 9,622,798 4,811,399 14,434,198 7,217,099 21,651,298 10,825,649 32,476,948 16,238,474 8,119,237 24,357,712 12,178,856 6,089,428 3,044,714 1,522,357 4,567,072 2,283,536 1,141,768 570,884 285,442 142,721 428,164 214,082 107,041 321,124 160,562 80,281 240,844 120,422 60,211 180,634 90,317 270,952 135,476 67,738 33,869 101,608 50,804 25,402 12,701 38,104 19,052 9,526 4,763 14,290 7,145 21,436 10,718

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