λ
Prime Ledger

1,726,635

3 × 5 × 59 × 1951
Deficient Odd Composite

1,726,635 has the prime decomposition 3 × 5 × 59 × 1951. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 59 × 1951
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,810,880
Proper Divisor Sum 1,084,245
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1726609 ← → #1726643

Radix Representation

Decimal 1726635
Binary 110100101100010101011 (21 bits)
Octal 0o6454253
Hexadecimal 0x1A58AB

Divisor Catalog (16)

1 3 5 15 59 177 295 885 1,951 5,853 9,755 29,265 115,109 345,327 575,545 1,726,635

Collatz Trajectory (189 steps to reach 1)

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

1,726,635 5,179,906 2,589,953 7,769,860 3,884,930 1,942,465 5,827,396 2,913,698 1,456,849 4,370,548 2,185,274 1,092,637 3,277,912 1,638,956 819,478 409,739 1,229,218 614,609 1,843,828 921,914 460,957 1,382,872 691,436 345,718 172,859 518,578 259,289 777,868 388,934 194,467 583,402 291,701 875,104 437,552 218,776 109,388 54,694 27,347 82,042 41,021 123,064 61,532 30,766 15,383 46,150 23,075 69,226 34,613 103,840 51,920 25,960 12,980 6,490 3,245 9,736 4,868 2,434 1,217 3,652 1,826

More profiles

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