λ
Sequence Observatory

1,700,833

17 × 100049
Deficient Odd Composite

Starting at 1,700,833, the Collatz iteration reaches 1 after 176 steps. The first transition is 5102500; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 17 × 100049
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,800,900
Proper Divisor Sum 100,067
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #1700819 ← → #1700849

Radix Representation

Decimal 1700833
Binary 110011111001111100001 (21 bits)
Octal 0o6371741
Hexadecimal 0x19F3E1

Divisor Catalog (4)

1 17 100,049 1,700,833

Collatz Trajectory (176 steps to reach 1)

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

1,700,833 5,102,500 2,551,250 1,275,625 3,826,876 1,913,438 956,719 2,870,158 1,435,079 4,305,238 2,152,619 6,457,858 3,228,929 9,686,788 4,843,394 2,421,697 7,265,092 3,632,546 1,816,273 5,448,820 2,724,410 1,362,205 4,086,616 2,043,308 1,021,654 510,827 1,532,482 766,241 2,298,724 1,149,362 574,681 1,724,044 862,022 431,011 1,293,034 646,517 1,939,552 969,776 484,888 242,444 121,222 60,611 181,834 90,917 272,752 136,376 68,188 34,094 17,047 51,142 25,571 76,714 38,357 115,072 57,536 28,768 14,384 7,192 3,596 1,798

More profiles

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