λ
Ratio Atlas
Atlas › Integer Profiles › Node 24,674,216

24,674,216

23 × 7 × 23 × 19157
Abundant Even Composite

24,674,216 factors as 2^3 × 7 × 23 × 19157. Its 32 positive divisors give a proper-divisor sum of 30,500,824, so this integer is abundant. The Collatz stopping time is 304 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 23 × 19157
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 55,175,040
Proper Divisor Sum 30,500,824
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #24674207 ← → #24674249

Radix Representation

Decimal 24674216
Binary 1011110000111111110101000 (25 bits)
Octal 0o136077650
Hexadecimal 0x1787FA8

Divisor Catalog (32)

1 2 4 7 8 14 23 28 46 56 92 161 184 322 644 1,288 19,157 38,314 76,628 134,099 153,256 268,198 440,611 536,396 881,222 1,072,792 1,762,444 3,084,277 3,524,888 6,168,554 12,337,108 24,674,216

Collatz Trajectory (304 steps to reach 1)

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

24,674,216 12,337,108 6,168,554 3,084,277 9,252,832 4,626,416 2,313,208 1,156,604 578,302 289,151 867,454 433,727 1,301,182 650,591 1,951,774 975,887 2,927,662 1,463,831 4,391,494 2,195,747 6,587,242 3,293,621 9,880,864 4,940,432 2,470,216 1,235,108 617,554 308,777 926,332 463,166 231,583 694,750 347,375 1,042,126 521,063 1,563,190 781,595 2,344,786 1,172,393 3,517,180 1,758,590 879,295 2,637,886 1,318,943 3,956,830 1,978,415 5,935,246 2,967,623 8,902,870 4,451,435 13,354,306 6,677,153 20,031,460 10,015,730 5,007,865 15,023,596 7,511,798 3,755,899 11,267,698 5,633,849

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #24,674,215 Browse Full Index Next Integer #24,674,217 →