λ
Ratio Atlas
Atlas › Integer Profiles › Node 446,880

446,880

25 × 3 × 5 × 72 × 19
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 3 × 5 × 7^2 × 19
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 144
Divisor Sum (σ) 1,723,680
Proper Divisor Sum 1,276,800
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #446863 ← → #446881

Radix Representation

Decimal 446880
Binary 1101101000110100000 (19 bits)
Octal 0o1550640
Hexadecimal 0x6D1A0

Divisor Catalog (60 of 144)

1 2 3 4 5 6 7 8 10 12 14 15 16 19 20 21 24 28 30 32 35 38 40 42 48 49 56 57 60 70 76 80 84 95 96 98 105 112 114 120 133 140 147 152 160 168 190 196 210 224 228 240 245 266 280 285 294 304 336 380

Collatz Trajectory (156 steps to reach 1)

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

446,880 223,440 111,720 55,860 27,930 13,965 41,896 20,948 10,474 5,237 15,712 7,856 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333 4,000 2,000 1,000 500 250 125 376 188 94 47 142 71 214 107 322 161 484

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #446,879 Browse Full Index Next Integer #446,881 →