980,433

3² × 41 × 2657

980,433 factors as 3^2 × 41 × 2657. Its 12 positive divisors give a proper-divisor sum of 470,835, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 3^2 × 41 × 2657

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,451,268

Proper Divisor Sum 470,835

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #980431 ← → #980449

Radix Representation

Decimal	980433
Binary	11101111010111010001 (20 bits)
Octal	0o3572721
Hexadecimal	0xEF5D1

Divisor Catalog (12)

1 3 9 41 123 369 2,657 7,971 23,913 108,937 326,811 980,433

Collatz Trajectory (183 steps to reach 1)

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

980,433 2,941,300 1,470,650 735,325 2,205,976 1,102,988 551,494 275,747 827,242 413,621 1,240,864 620,432 310,216 155,108 77,554 38,777 116,332 58,166 29,083 87,250 43,625 130,876 65,438 32,719 98,158 49,079 147,238 73,619 220,858 110,429 331,288 165,644 82,822 41,411 124,234 62,117 186,352 93,176 46,588 23,294 11,647 34,942 17,471 52,414 26,207 78,622 39,311 117,934 58,967 176,902 88,451 265,354 132,677 398,032 199,016 99,508 49,754 24,877 74,632 37,316

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