λ
Sequence Observatory

1,643,531

823 × 1997
Deficient Odd Composite

Starting at 1,643,531, the Collatz iteration reaches 1 after 163 steps. The first transition is 4930594; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 823 × 1997
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,646,352
Proper Divisor Sum 2,821
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #1643513 ← → #1643539

Radix Representation

Decimal 1643531
Binary 110010001010000001011 (21 bits)
Octal 0o6212013
Hexadecimal 0x19140B

Divisor Catalog (4)

1 823 1,997 1,643,531

Collatz Trajectory (163 steps to reach 1)

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

1,643,531 4,930,594 2,465,297 7,395,892 3,697,946 1,848,973 5,546,920 2,773,460 1,386,730 693,365 2,080,096 1,040,048 520,024 260,012 130,006 65,003 195,010 97,505 292,516 146,258 73,129 219,388 109,694 54,847 164,542 82,271 246,814 123,407 370,222 185,111 555,334 277,667 833,002 416,501 1,249,504 624,752 312,376 156,188 78,094 39,047 117,142 58,571 175,714 87,857 263,572 131,786 65,893 197,680 98,840 49,420 24,710 12,355 37,066 18,533 55,600 27,800 13,900 6,950 3,475 10,426

More profiles

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