λ
Sequence Observatory

186,332

22 × 37 × 1259
Deficient Even Composite

Starting at 186,332, the Collatz iteration reaches 1 after 116 steps. The first transition is 93166; the starting value is even with 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 37 × 1259
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 335,160
Proper Divisor Sum 148,828
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #186317 ← → #186343

Radix Representation

Decimal 186332
Binary 101101011111011100 (18 bits)
Octal 0o553734
Hexadecimal 0x2D7DC

Divisor Catalog (12)

1 2 4 37 74 148 1,259 2,518 5,036 46,583 93,166 186,332

Collatz Trajectory (116 steps to reach 1)

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

186,332 93,166 46,583 139,750 69,875 209,626 104,813 314,440 157,220 78,610 39,305 117,916 58,958 29,479 88,438 44,219 132,658 66,329 198,988 99,494 49,747 149,242 74,621 223,864 111,932 55,966 27,983 83,950 41,975 125,926 62,963 188,890 94,445 283,336 141,668 70,834 35,417 106,252 53,126 26,563 79,690 39,845 119,536 59,768 29,884 14,942 7,471 22,414 11,207 33,622 16,811 50,434 25,217 75,652 37,826 18,913 56,740 28,370 14,185 42,556

More profiles

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