λ
Sequence Observatory

328,995

33 × 5 × 2437
Deficient Odd Composite

Starting at 328,995, the Collatz iteration reaches 1 after 171 steps. The first transition is 986986; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 5 × 2437
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 585,120
Proper Divisor Sum 256,125
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #328981 ← → #329009

Radix Representation

Decimal 328995
Binary 1010000010100100011 (19 bits)
Octal 0o1202443
Hexadecimal 0x50523

Divisor Catalog (16)

1 3 5 9 15 27 45 135 2,437 7,311 12,185 21,933 36,555 65,799 109,665 328,995

Collatz Trajectory (171 steps to reach 1)

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

328,995 986,986 493,493 1,480,480 740,240 370,120 185,060 92,530 46,265 138,796 69,398 34,699 104,098 52,049 156,148 78,074 39,037 117,112 58,556 29,278 14,639 43,918 21,959 65,878 32,939 98,818 49,409 148,228 74,114 37,057 111,172 55,586 27,793 83,380 41,690 20,845 62,536 31,268 15,634 7,817 23,452 11,726 5,863 17,590 8,795 26,386 13,193 39,580 19,790 9,895 29,686 14,843 44,530 22,265 66,796 33,398 16,699 50,098 25,049 75,148

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