326,986

2 × 11 × 89 × 167

Starting at 326,986, the Collatz iteration reaches 1 after 153 steps. The first transition is 163493; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 11 × 89 × 167

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 544,320

Proper Divisor Sum 217,334

Digit Sum / Digital Root 34 (Root: 7)

Adjacent Primes #326983 ← → #326993

Radix Representation

Decimal	326986
Binary	1001111110101001010 (19 bits)
Octal	0o1176512
Hexadecimal	0x4FD4A

Divisor Catalog (16)

1 2 11 22 89 167 178 334 979 1,837 1,958 3,674 14,863 29,726 163,493 326,986

Collatz Trajectory (153 steps to reach 1)

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

326,986 163,493 490,480 245,240 122,620 61,310 30,655 91,966 45,983 137,950 68,975 206,926 103,463 310,390 155,195 465,586 232,793 698,380 349,190 174,595 523,786 261,893 785,680 392,840 196,420 98,210 49,105 147,316 73,658 36,829 110,488 55,244 27,622 13,811 41,434 20,717 62,152 31,076 15,538 7,769 23,308 11,654 5,827 17,482 8,741 26,224 13,112 6,556 3,278 1,639 4,918 2,459 7,378 3,689 11,068 5,534 2,767 8,302 4,151 12,454

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