3,327,240

2³ × 3 × 5 × 7 × 17 × 233

3,327,240 factors as 2^3 × 3 × 5 × 7 × 17 × 233. Its 128 positive divisors give a proper-divisor sum of 8,803,320, so this integer is abundant. The Collatz stopping time is 115 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 7 × 17 × 233

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 12,130,560

Proper Divisor Sum 8,803,320

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3327239 ← → #3327251

Radix Representation

Decimal	3327240
Binary	1100101100010100001000 (22 bits)
Octal	0o14542410
Hexadecimal	0x32C508

Divisor Catalog (60 of 128)

1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 233 238 255 280 340 357 408 420 466 476 510 595 680 699 714 840 932 952 1,020 1,165 1,190

Collatz Trajectory (115 steps to reach 1)

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

3,327,240 1,663,620 831,810 415,905 1,247,716 623,858 311,929 935,788 467,894 233,947 701,842 350,921 1,052,764 526,382 263,191 789,574 394,787 1,184,362 592,181 1,776,544 888,272 444,136 222,068 111,034 55,517 166,552 83,276 41,638 20,819 62,458 31,229 93,688 46,844 23,422 11,711 35,134 17,567 52,702 26,351 79,054 39,527 118,582 59,291 177,874 88,937 266,812 133,406 66,703 200,110 100,055 300,166 150,083 450,250 225,125 675,376 337,688 168,844 84,422 42,211 126,634

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #3,327,239 Browse Full Index Next Integer #3,327,241 →