978,489

3² × 23 × 29 × 163

978,489 factors as 3^2 × 23 × 29 × 163. Its 24 positive divisors give a proper-divisor sum of 556,551, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 3^2 × 23 × 29 × 163

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,535,040

Proper Divisor Sum 556,551

Digit Sum / Digital Root 45 (Root: 9)

Adjacent Primes #978479 ← → #978491

Radix Representation

Decimal	978489
Binary	11101110111000111001 (20 bits)
Octal	0o3567071
Hexadecimal	0xEEE39

Divisor Catalog (24)

Collatz Trajectory (77 steps to reach 1)

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

978,489 2,935,468 1,467,734 733,867 2,201,602 1,100,801 3,302,404 1,651,202 825,601 2,476,804 1,238,402 619,201 1,857,604 928,802 464,401 1,393,204 696,602 348,301 1,044,904 522,452 261,226 130,613 391,840 195,920 97,960 48,980 24,490 12,245 36,736 18,368 9,184 4,592 2,296 1,148 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372 2,186 1,093 3,280 1,640 820 410 205 616 308 154 77 232 116 58 29

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