λ
Sequence Observatory

173,653

211 × 823
Deficient Odd Composite

Starting at 173,653, the Collatz iteration reaches 1 after 165 steps. The first transition is 520960; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 211 × 823
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 174,688
Proper Divisor Sum 1,035
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #173651 ← → #173659

Radix Representation

Decimal 173653
Binary 101010011001010101 (18 bits)
Octal 0o523125
Hexadecimal 0x2A655

Divisor Catalog (4)

1 211 823 173,653

Collatz Trajectory (165 steps to reach 1)

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

173,653 520,960 260,480 130,240 65,120 32,560 16,280 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532 3,266 1,633 4,900 2,450 1,225 3,676 1,838 919 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188

More profiles

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