986,115

3 × 5 × 13² × 389

986,115 factors as 3 × 5 × 13^2 × 389. Its 24 positive divisors give a proper-divisor sum of 726,765, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 3 × 5 × 13^2 × 389

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 1,712,880

Proper Divisor Sum 726,765

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #986113 ← → #986131

Radix Representation

Decimal	986115
Binary	11110000110000000011 (20 bits)
Octal	0o3606003
Hexadecimal	0xF0C03

Divisor Catalog (24)

1 3 5 13 15 39 65 169 195 389 507 845 1,167 1,945 2,535 5,057 5,835 15,171 25,285 65,741 75,855 197,223 328,705 986,115

Collatz Trajectory (214 steps to reach 1)

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

986,115 2,958,346 1,479,173 4,437,520 2,218,760 1,109,380 554,690 277,345 832,036 416,018 208,009 624,028 312,014 156,007 468,022 234,011 702,034 351,017 1,053,052 526,526 263,263 789,790 394,895 1,184,686 592,343 1,777,030 888,515 2,665,546 1,332,773 3,998,320 1,999,160 999,580 499,790 249,895 749,686 374,843 1,124,530 562,265 1,686,796 843,398 421,699 1,265,098 632,549 1,897,648 948,824 474,412 237,206 118,603 355,810 177,905 533,716 266,858 133,429 400,288 200,144 100,072 50,036 25,018 12,509 37,528

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