2,809,080

2³ × 3⁵ × 5 × 17²

2,809,080 factors as 2^3 × 3^5 × 5 × 17^2. Its 144 positive divisors give a proper-divisor sum of 7,248,240, so this integer is abundant. The Collatz stopping time is 275 steps.

Prime Factor Structure

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

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 144

Divisor Sum (σ) 10,057,320

Proper Divisor Sum 7,248,240

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2809073 ← → #2809087

Radix Representation

Decimal	2809080
Binary	1010101101110011111000 (22 bits)
Octal	0o12556370
Hexadecimal	0x2ADCF8

Divisor Catalog (60 of 144)

1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 204 216 243 255 270 289 306 324 340 360 405 408 459 486 510 540 578 612 648 680 765 810

Collatz Trajectory (275 steps to reach 1)

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

2,809,080 1,404,540 702,270 351,135 1,053,406 526,703 1,580,110 790,055 2,370,166 1,185,083 3,555,250 1,777,625 5,332,876 2,666,438 1,333,219 3,999,658 1,999,829 5,999,488 2,999,744 1,499,872 749,936 374,968 187,484 93,742 46,871 140,614 70,307 210,922 105,461 316,384 158,192 79,096 39,548 19,774 9,887 29,662 14,831 44,494 22,247 66,742 33,371 100,114 50,057 150,172 75,086 37,543 112,630 56,315 168,946 84,473 253,420 126,710 63,355 190,066 95,033 285,100 142,550 71,275 213,826 106,913

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,809,079 Browse Full Index Next Integer #2,809,081 →