978,606

2 × 3² × 54367

978,606 factors as 2 × 3^2 × 54367. Its 12 positive divisors give a proper-divisor sum of 1,141,746, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 54367

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 2,120,352

Proper Divisor Sum 1,141,746

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #978599 ← → #978611

Radix Representation

Decimal	978606
Binary	11101110111010101110 (20 bits)
Octal	0o3567256
Hexadecimal	0xEEEAE

Divisor Catalog (12)

1 2 3 6 9 18 54,367 108,734 163,101 326,202 489,303 978,606

Collatz Trajectory (214 steps to reach 1)

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

978,606 489,303 1,467,910 733,955 2,201,866 1,100,933 3,302,800 1,651,400 825,700 412,850 206,425 619,276 309,638 154,819 464,458 232,229 696,688 348,344 174,172 87,086 43,543 130,630 65,315 195,946 97,973 293,920 146,960 73,480 36,740 18,370 9,185 27,556 13,778 6,889 20,668 10,334 5,167 15,502 7,751 23,254 11,627 34,882 17,441 52,324 26,162 13,081 39,244 19,622 9,811 29,434 14,717 44,152 22,076 11,038 5,519 16,558 8,279 24,838 12,419 37,258

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