λ
Ratio Atlas
Atlas › Integer Profiles › Node 6,324,930

6,324,930

2 × 32 × 5 × 31 × 2267
Abundant Even Composite

6,324,930 factors as 2 × 3^2 × 5 × 31 × 2267. Its 48 positive divisors give a proper-divisor sum of 10,657,854, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 31 × 2267
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 16,982,784
Proper Divisor Sum 10,657,854
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6324919 ← → #6324953

Radix Representation

Decimal 6324930
Binary 11000001000001011000010 (23 bits)
Octal 0o30101302
Hexadecimal 0x6082C2

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 1,395 2,267 2,790 4,534 6,801 11,335 13,602 20,403 22,670 34,005 40,806 68,010 70,277 102,015 140,554 204,030 210,831 351,385 421,662 632,493 702,770 1,054,155 1,264,986 2,108,310 3,162,465 6,324,930

Collatz Trajectory (103 steps to reach 1)

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

6,324,930 3,162,465 9,487,396 4,743,698 2,371,849 7,115,548 3,557,774 1,778,887 5,336,662 2,668,331 8,004,994 4,002,497 12,007,492 6,003,746 3,001,873 9,005,620 4,502,810 2,251,405 6,754,216 3,377,108 1,688,554 844,277 2,532,832 1,266,416 633,208 316,604 158,302 79,151 237,454 118,727 356,182 178,091 534,274 267,137 801,412 400,706 200,353 601,060 300,530 150,265 450,796 225,398 112,699 338,098 169,049 507,148 253,574 126,787 380,362 190,181 570,544 285,272 142,636 71,318 35,659 106,978 53,489 160,468 80,234 40,117

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #6,324,929 Browse Full Index Next Integer #6,324,931 →