980,757

3² × 59 × 1847

980,757 factors as 3^2 × 59 × 1847. Its 12 positive divisors give a proper-divisor sum of 460,683, so this integer is deficient. The Collatz stopping time is 183 steps.

Prime Factor Structure

Factorization String 3^2 × 59 × 1847

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 1,441,440

Proper Divisor Sum 460,683

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #980731 ← → #980773

Radix Representation

Decimal	980757
Binary	11101111011100010101 (20 bits)
Octal	0o3573425
Hexadecimal	0xEF715

Divisor Catalog (12)

1 3 9 59 177 531 1,847 5,541 16,623 108,973 326,919 980,757

Collatz Trajectory (183 steps to reach 1)

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

980,757 2,942,272 1,471,136 735,568 367,784 183,892 91,946 45,973 137,920 68,960 34,480 17,240 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470 74,735 224,206

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