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Atlas › Integer Profiles › Node 49,189,072

49,189,072

24 × 47 × 149 × 439
Deficient Even Composite

49,189,072 factors as 2^4 × 47 × 149 × 439. Its 40 positive divisors give a proper-divisor sum of 49,018,928, so this integer is deficient. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^4 × 47 × 149 × 439
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 98,208,000
Proper Divisor Sum 49,018,928
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #49189069 ← → #49189087

Radix Representation

Decimal 49189072
Binary 10111011101001000011010000 (26 bits)
Octal 0o273510320
Hexadecimal 0x2EE90D0

Divisor Catalog (40)

1 2 4 8 16 47 94 149 188 298 376 439 596 752 878 1,192 1,756 2,384 3,512 7,003 7,024 14,006 20,633 28,012 41,266 56,024 65,411 82,532 112,048 130,822 165,064 261,644 330,128 523,288 1,046,576 3,074,317 6,148,634 12,297,268 24,594,536 49,189,072

Collatz Trajectory (80 steps to reach 1)

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

49,189,072 24,594,536 12,297,268 6,148,634 3,074,317 9,222,952 4,611,476 2,305,738 1,152,869 3,458,608 1,729,304 864,652 432,326 216,163 648,490 324,245 972,736 486,368 243,184 121,592 60,796 30,398 15,199 45,598 22,799 68,398 34,199 102,598 51,299 153,898 76,949 230,848 115,424 57,712 28,856 14,428 7,214 3,607 10,822 5,411 16,234 8,117 24,352 12,176 6,088 3,044 1,522 761 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448

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