28,080,360

2³ × 3² × 5 × 7 × 11 × 1013

28,080,360 factors as 2^3 × 3^2 × 5 × 7 × 11 × 1013. Its 192 positive divisors give a proper-divisor sum of 85,812,120, so this integer is abundant. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 5 × 7 × 11 × 1013

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 113,892,480

Proper Divisor Sum 85,812,120

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #28080359 ← → #28080361

Radix Representation

Decimal	28080360
Binary	1101011000111100011101000 (25 bits)
Octal	0o153074350
Hexadecimal	0x1AC78E8

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 8 9 10 11 12 14 15 18 20 21 22 24 28 30 33 35 36 40 42 44 45 55 56 60 63 66 70 72 77 84 88 90 99 105 110 120 126 132 140 154 165 168 180 198 210 220 231 252 264 280 308 315 330

Collatz Trajectory (206 steps to reach 1)

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

28,080,360 14,040,180 7,020,090 3,510,045 10,530,136 5,265,068 2,632,534 1,316,267 3,948,802 1,974,401 5,923,204 2,961,602 1,480,801 4,442,404 2,221,202 1,110,601 3,331,804 1,665,902 832,951 2,498,854 1,249,427 3,748,282 1,874,141 5,622,424 2,811,212 1,405,606 702,803 2,108,410 1,054,205 3,162,616 1,581,308 790,654 395,327 1,185,982 592,991 1,778,974 889,487 2,668,462 1,334,231 4,002,694 2,001,347 6,004,042 3,002,021 9,006,064 4,503,032 2,251,516 1,125,758 562,879 1,688,638 844,319 2,532,958 1,266,479 3,799,438 1,899,719 5,699,158 2,849,579 8,548,738 4,274,369 12,823,108 6,411,554

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #28,080,359 Browse Full Index Next Integer #28,080,361 →