λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,994,990

4,994,990

2 × 5 × 7 × 11 × 13 × 499
Abundant Even Composite

4,994,990 factors as 2 × 5 × 7 × 11 × 13 × 499. Its 64 positive divisors give a proper-divisor sum of 7,101,010, so this integer is abundant. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 11 × 13 × 499
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 12,096,000
Proper Divisor Sum 7,101,010
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #4994987 ← → #4994993

Radix Representation

Decimal 4994990
Binary 10011000011011110101110 (23 bits)
Octal 0o23033656
Hexadecimal 0x4C37AE

Divisor Catalog (60 of 64)

1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 499 715 770 910 998 1,001 1,430 2,002 2,495 3,493 4,990 5,005 5,489 6,487 6,986 10,010 10,978 12,974 17,465 27,445 32,435 34,930 38,423 45,409 54,890 64,870 71,357 76,846 90,818 142,714 192,115 227,045 356,785 384,230 454,090 499,499

Collatz Trajectory (206 steps to reach 1)

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

4,994,990 2,497,495 7,492,486 3,746,243 11,238,730 5,619,365 16,858,096 8,429,048 4,214,524 2,107,262 1,053,631 3,160,894 1,580,447 4,741,342 2,370,671 7,112,014 3,556,007 10,668,022 5,334,011 16,002,034 8,001,017 24,003,052 12,001,526 6,000,763 18,002,290 9,001,145 27,003,436 13,501,718 6,750,859 20,252,578 10,126,289 30,378,868 15,189,434 7,594,717 22,784,152 11,392,076 5,696,038 2,848,019 8,544,058 4,272,029 12,816,088 6,408,044 3,204,022 1,602,011 4,806,034 2,403,017 7,209,052 3,604,526 1,802,263 5,406,790 2,703,395 8,110,186 4,055,093 12,165,280 6,082,640 3,041,320 1,520,660 760,330 380,165 1,140,496

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,994,989 Browse Full Index Next Integer #4,994,991 →