λ
Ratio Atlas
Atlas › Integer Profiles › Node 24,979,504

24,979,504

24 × 11 × 71 × 1999
Abundant Even Composite

24,979,504 factors as 2^4 × 11 × 71 × 1999. Its 40 positive divisors give a proper-divisor sum of 28,588,496, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 71 × 1999
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 53,568,000
Proper Divisor Sum 28,588,496
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #24979501 ← → #24979529

Radix Representation

Decimal 24979504
Binary 1011111010010100000110000 (25 bits)
Octal 0o137224060
Hexadecimal 0x17D2830

Divisor Catalog (40)

1 2 4 8 11 16 22 44 71 88 142 176 284 568 781 1,136 1,562 1,999 3,124 3,998 6,248 7,996 12,496 15,992 21,989 31,984 43,978 87,956 141,929 175,912 283,858 351,824 567,716 1,135,432 1,561,219 2,270,864 3,122,438 6,244,876 12,489,752 24,979,504

Collatz Trajectory (79 steps to reach 1)

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

24,979,504 12,489,752 6,244,876 3,122,438 1,561,219 4,683,658 2,341,829 7,025,488 3,512,744 1,756,372 878,186 439,093 1,317,280 658,640 329,320 164,660 82,330 41,165 123,496 61,748 30,874 15,437 46,312 23,156 11,578 5,789 17,368 8,684 4,342 2,171 6,514 3,257 9,772 4,886 2,443 7,330 3,665 10,996 5,498 2,749 8,248 4,124 2,062 1,031 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #24,979,503 Browse Full Index Next Integer #24,979,505 →