987,012

2² × 3³ × 13 × 19 × 37

987,012 has the prime decomposition 2^2 × 3^3 × 13 × 19 × 37. Its 5 distinct prime factors produce 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 13 × 19 × 37

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 2,979,200

Proper Divisor Sum 1,992,188

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #986989 ← → #987013

Radix Representation

Decimal	987012
Binary	11110000111110000100 (20 bits)
Octal	0o3607604
Hexadecimal	0xF0F84

Divisor Catalog (60 of 96)

1 2 3 4 6 9 12 13 18 19 26 27 36 37 38 39 52 54 57 74 76 78 108 111 114 117 148 156 171 222 228 234 247 333 342 351 444 468 481 494 513 666 684 702 703 741 962 988 999 1,026 1,332 1,404 1,406 1,443 1,482 1,924 1,998 2,052 2,109 2,223

Collatz Trajectory (121 steps to reach 1)

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

987,012 493,506 246,753 740,260 370,130 185,065 555,196 277,598 138,799 416,398 208,199 624,598 312,299 936,898 468,449 1,405,348 702,674 351,337 1,054,012 527,006 263,503 790,510 395,255 1,185,766 592,883 1,778,650 889,325 2,667,976 1,333,988 666,994 333,497 1,000,492 500,246 250,123 750,370 375,185 1,125,556 562,778 281,389 844,168 422,084 211,042 105,521 316,564 158,282 79,141 237,424 118,712 59,356 29,678 14,839 44,518 22,259 66,778 33,389 100,168 50,084 25,042 12,521 37,564

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