987,732

2² × 3² × 27437

987,732 has the prime decomposition 2^2 × 3^2 × 27437. Its 3 distinct prime factors produce 18 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 27437

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 2,496,858

Proper Divisor Sum 1,509,126

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #987713 ← → #987739

Radix Representation

Decimal	987732
Binary	11110001001001010100 (20 bits)
Octal	0o3611124
Hexadecimal	0xF1254

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 27,437 54,874 82,311 109,748 164,622 246,933 329,244 493,866 987,732

Collatz Trajectory (90 steps to reach 1)

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

987,732 493,866 246,933 740,800 370,400 185,200 92,600 46,300 23,150 11,575 34,726 17,363 52,090 26,045 78,136 39,068 19,534 9,767 29,302 14,651 43,954 21,977 65,932 32,966 16,483 49,450 24,725 74,176 37,088 18,544 9,272 4,636 2,318 1,159 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048

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