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Atlas › Integer Profiles › Node 49,115,200

49,115,200

26 × 52 × 30697
Abundant Even Composite

49,115,200 factors as 2^6 × 5^2 × 30697. Its 42 positive divisors give a proper-divisor sum of 71,742,826, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^6 × 5^2 × 30697
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 42
Divisor Sum (σ) 120,858,026
Proper Divisor Sum 71,742,826
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #49115197 ← → #49115207

Radix Representation

Decimal 49115200
Binary 10111011010111000001000000 (26 bits)
Octal 0o273270100
Hexadecimal 0x2ED7040

Divisor Catalog (42)

1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1,600 30,697 61,394 122,788 153,485 245,576 306,970 491,152 613,940 767,425 982,304 1,227,880 1,534,850 1,964,608 2,455,760 3,069,700 4,911,520 6,139,400 9,823,040 12,278,800 24,557,600 49,115,200

Collatz Trajectory (199 steps to reach 1)

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

49,115,200 24,557,600 12,278,800 6,139,400 3,069,700 1,534,850 767,425 2,302,276 1,151,138 575,569 1,726,708 863,354 431,677 1,295,032 647,516 323,758 161,879 485,638 242,819 728,458 364,229 1,092,688 546,344 273,172 136,586 68,293 204,880 102,440 51,220 25,610 12,805 38,416 19,208 9,604 4,802 2,401 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422 1,711 5,134 2,567 7,702 3,851 11,554 5,777 17,332 8,666

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