986,715

3³ × 5 × 7309

986,715 factors as 3^3 × 5 × 7309. Its 16 positive divisors give a proper-divisor sum of 767,685, so this integer is deficient. The Collatz stopping time is 121 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 7309

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 1,754,400

Proper Divisor Sum 767,685

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #986707 ← → #986717

Radix Representation

Decimal	986715
Binary	11110000111001011011 (20 bits)
Octal	0o3607133
Hexadecimal	0xF0E5B

Divisor Catalog (16)

1 3 5 9 15 27 45 135 7,309 21,927 36,545 65,781 109,635 197,343 328,905 986,715

Collatz Trajectory (121 steps to reach 1)

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

986,715 2,960,146 1,480,073 4,440,220 2,220,110 1,110,055 3,330,166 1,665,083 4,995,250 2,497,625 7,492,876 3,746,438 1,873,219 5,619,658 2,809,829 8,429,488 4,214,744 2,107,372 1,053,686 526,843 1,580,530 790,265 2,370,796 1,185,398 592,699 1,778,098 889,049 2,667,148 1,333,574 666,787 2,000,362 1,000,181 3,000,544 1,500,272 750,136 375,068 187,534 93,767 281,302 140,651 421,954 210,977 632,932 316,466 158,233 474,700 237,350 118,675 356,026 178,013 534,040 267,020 133,510 66,755 200,266 100,133 300,400 150,200 75,100 37,550

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