687,132

2² × 3² × 19087

687,132 factors as 2^2 × 3^2 × 19087. Its 18 positive divisors give a proper-divisor sum of 1,049,876, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 19087

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 18

Divisor Sum (σ) 1,737,008

Proper Divisor Sum 1,049,876

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #687131 ← → #687139

Radix Representation

Decimal	687132
Binary	10100111110000011100 (20 bits)
Octal	0o2476034
Hexadecimal	0xA7C1C

Divisor Catalog (18)

1 2 3 4 6 9 12 18 36 19,087 38,174 57,261 76,348 114,522 171,783 229,044 343,566 687,132

Collatz Trajectory (92 steps to reach 1)

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

687,132 343,566 171,783 515,350 257,675 773,026 386,513 1,159,540 579,770 289,885 869,656 434,828 217,414 108,707 326,122 163,061 489,184 244,592 122,296 61,148 30,574 15,287 45,862 22,931 68,794 34,397 103,192 51,596 25,798 12,899 38,698 19,349 58,048 29,024 14,512 7,256 3,628 1,814 907 2,722 1,361 4,084 2,042 1,021 3,064 1,532 766 383 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373

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