λ
Ratio Atlas
Atlas › Integer Profiles › Node 24,674,480

24,674,480

24 × 5 × 17 × 18143
Abundant Even Composite

24,674,480 factors as 2^4 × 5 × 17 × 18143. Its 40 positive divisors give a proper-divisor sum of 36,071,632, so this integer is abundant. The Collatz stopping time is 92 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 17 × 18143
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 60,746,112
Proper Divisor Sum 36,071,632
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #24674479 ← → #24674509

Radix Representation

Decimal 24674480
Binary 1011110001000000010110000 (25 bits)
Octal 0o136100260
Hexadecimal 0x17880B0

Divisor Catalog (40)

1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1,360 18,143 36,286 72,572 90,715 145,144 181,430 290,288 308,431 362,860 616,862 725,720 1,233,724 1,451,440 1,542,155 2,467,448 3,084,310 4,934,896 6,168,620 12,337,240 24,674,480

Collatz Trajectory (92 steps to reach 1)

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

24,674,480 12,337,240 6,168,620 3,084,310 1,542,155 4,626,466 2,313,233 6,939,700 3,469,850 1,734,925 5,204,776 2,602,388 1,301,194 650,597 1,951,792 975,896 487,948 243,974 121,987 365,962 182,981 548,944 274,472 137,236 68,618 34,309 102,928 51,464 25,732 12,866 6,433 19,300 9,650 4,825 14,476 7,238 3,619 10,858 5,429 16,288 8,144 4,072 2,036 1,018 509 1,528 764 382 191 574 287 862 431 1,294 647 1,942 971 2,914 1,457 4,372

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #24,674,479 Browse Full Index Next Integer #24,674,481 →