λ
Ratio Atlas

24,449,020

22 × 5 × 137 × 8923
Abundant Even Composite

24,449,020 factors as 2^2 × 5 × 137 × 8923. Its 24 positive divisors give a proper-divisor sum of 27,274,484, so this integer is abundant. The Collatz stopping time is 198 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 137 × 8923
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 51,723,504
Proper Divisor Sum 27,274,484
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #24449017 ← → #24449021

Radix Representation

Decimal 24449020
Binary 1011101010000111111111100 (25 bits)
Octal 0o135207774
Hexadecimal 0x1750FFC

Divisor Catalog (24)

Collatz Trajectory (198 steps to reach 1)

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

24,449,020 12,224,510 6,112,255 18,336,766 9,168,383 27,505,150 13,752,575 41,257,726 20,628,863 61,886,590 30,943,295 92,829,886 46,414,943 139,244,830 69,622,415 208,867,246 104,433,623 313,300,870 156,650,435 469,951,306 234,975,653 704,926,960 352,463,480 176,231,740 88,115,870 44,057,935 132,173,806 66,086,903 198,260,710 99,130,355 297,391,066 148,695,533 446,086,600 223,043,300 111,521,650 55,760,825 167,282,476 83,641,238 41,820,619 125,461,858 62,730,929 188,192,788 94,096,394 47,048,197 141,144,592 70,572,296 35,286,148 17,643,074 8,821,537 26,464,612 13,232,306 6,616,153 19,848,460 9,924,230 4,962,115 14,886,346 7,443,173 22,329,520 11,164,760 5,582,380

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