λ
Sequence Observatory

1,640,173

37 × 97 × 457
Deficient Odd Composite

Starting at 1,640,173, the Collatz iteration reaches 1 after 168 steps. The first transition is 4920520; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 37 × 97 × 457
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,705,592
Proper Divisor Sum 65,419
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1640167 ← → #1640183

Radix Representation

Decimal 1640173
Binary 110010000011011101101 (21 bits)
Octal 0o6203355
Hexadecimal 0x1906ED

Divisor Catalog (8)

1 37 97 457 3,589 16,909 44,329 1,640,173

Collatz Trajectory (168 steps to reach 1)

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

1,640,173 4,920,520 2,460,260 1,230,130 615,065 1,845,196 922,598 461,299 1,383,898 691,949 2,075,848 1,037,924 518,962 259,481 778,444 389,222 194,611 583,834 291,917 875,752 437,876 218,938 109,469 328,408 164,204 82,102 41,051 123,154 61,577 184,732 92,366 46,183 138,550 69,275 207,826 103,913 311,740 155,870 77,935 233,806 116,903 350,710 175,355 526,066 263,033 789,100 394,550 197,275 591,826 295,913 887,740 443,870 221,935 665,806 332,903 998,710 499,355 1,498,066 749,033 2,247,100

More profiles

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