λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,433,296

4,433,296

24 × 7 × 23 × 1721
Abundant Even Composite

4,433,296 factors as 2^4 × 7 × 23 × 1721. Its 40 positive divisors give a proper-divisor sum of 5,816,048, so this integer is abundant. The Collatz stopping time is 180 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 23 × 1721
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,249,344
Proper Divisor Sum 5,816,048
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #4433287 ← → #4433309

Radix Representation

Decimal 4433296
Binary 10000111010010110010000 (23 bits)
Octal 0o20722620
Hexadecimal 0x43A590

Divisor Catalog (40)

1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 322 368 644 1,288 1,721 2,576 3,442 6,884 12,047 13,768 24,094 27,536 39,583 48,188 79,166 96,376 158,332 192,752 277,081 316,664 554,162 633,328 1,108,324 2,216,648 4,433,296

Collatz Trajectory (180 steps to reach 1)

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

4,433,296 2,216,648 1,108,324 554,162 277,081 831,244 415,622 207,811 623,434 311,717 935,152 467,576 233,788 116,894 58,447 175,342 87,671 263,014 131,507 394,522 197,261 591,784 295,892 147,946 73,973 221,920 110,960 55,480 27,740 13,870 6,935 20,806 10,403 31,210 15,605 46,816 23,408 11,704 5,852 2,926 1,463 4,390 2,195 6,586 3,293 9,880 4,940 2,470 1,235 3,706 1,853 5,560 2,780 1,390 695 2,086 1,043 3,130 1,565 4,696

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,433,295 Browse Full Index Next Integer #4,433,297 →