λ
Match Zalai

2,380,624

24 × 19 × 41 × 191
Abundant Even Composite

2,380,624 factors as 2^4 × 19 × 41 × 191. Its 40 positive divisors give a proper-divisor sum of 2,619,056, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2^4 × 19 × 41 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 4,999,680
Proper Divisor Sum 2,619,056
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2380621 ← → #2380627

Radix Representation

Decimal 2380624
Binary 1001000101001101010000 (22 bits)
Octal 0o11051520
Hexadecimal 0x245350

Divisor Catalog (40)

1 2 4 8 16 19 38 41 76 82 152 164 191 304 328 382 656 764 779 1,528 1,558 3,056 3,116 3,629 6,232 7,258 7,831 12,464 14,516 15,662 29,032 31,324 58,064 62,648 125,296 148,789 297,578 595,156 1,190,312 2,380,624

Collatz Trajectory (143 steps to reach 1)

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

2,380,624 1,190,312 595,156 297,578 148,789 446,368 223,184 111,592 55,796 27,898 13,949 41,848 20,924 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144 12,572 6,286 3,143 9,430 4,715 14,146 7,073 21,220 10,610 5,305 15,916 7,958 3,979 11,938 5,969 17,908 8,954 4,477 13,432 6,716 3,358 1,679 5,038 2,519

More profiles

← Previous Integer #2,380,623 Browse Full Index Next Integer #2,380,625 →