λ
Sigma Notebook

1,691,589

3 × 19 × 59 × 503
Deficient Odd Composite

1,691,589 is odd and not a perfect square. Its factorization is 3 × 19 × 59 × 503 and its 16 divisors sum to 2,419,200.

Prime Factor Structure

Factorization String 3 × 19 × 59 × 503
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,419,200
Proper Divisor Sum 727,611
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #1691567 ← → #1691593

Radix Representation

Decimal 1691589
Binary 110011100111111000101 (21 bits)
Octal 0o6347705
Hexadecimal 0x19CFC5

Divisor Catalog (16)

1 3 19 57 59 177 503 1,121 1,509 3,363 9,557 28,671 29,677 89,031 563,863 1,691,589

Collatz Trajectory (176 steps to reach 1)

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

1,691,589 5,074,768 2,537,384 1,268,692 634,346 317,173 951,520 475,760 237,880 118,940 59,470 29,735 89,206 44,603 133,810 66,905 200,716 100,358 50,179 150,538 75,269 225,808 112,904 56,452 28,226 14,113 42,340 21,170 10,585 31,756 15,878 7,939 23,818 11,909 35,728 17,864 8,932 4,466 2,233 6,700 3,350 1,675 5,026 2,513 7,540 3,770 1,885 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299

More profiles

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