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Atlas › Integer Profiles › Node 49,282,968

49,282,968

23 × 3 × 7 × 293351
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 293351
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 140,808,960
Proper Divisor Sum 91,525,992
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #49282967 ← → #49282991

Radix Representation

Decimal 49282968
Binary 10111011111111111110011000 (26 bits)
Octal 0o273777630
Hexadecimal 0x2EFFF98

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 293,351 586,702 880,053 1,173,404 1,760,106 2,053,457 2,346,808 3,520,212 4,106,914 6,160,371 7,040,424 8,213,828 12,320,742 16,427,656 24,641,484 49,282,968

Collatz Trajectory (279 steps to reach 1)

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

49,282,968 24,641,484 12,320,742 6,160,371 18,481,114 9,240,557 27,721,672 13,860,836 6,930,418 3,465,209 10,395,628 5,197,814 2,598,907 7,796,722 3,898,361 11,695,084 5,847,542 2,923,771 8,771,314 4,385,657 13,156,972 6,578,486 3,289,243 9,867,730 4,933,865 14,801,596 7,400,798 3,700,399 11,101,198 5,550,599 16,651,798 8,325,899 24,977,698 12,488,849 37,466,548 18,733,274 9,366,637 28,099,912 14,049,956 7,024,978 3,512,489 10,537,468 5,268,734 2,634,367 7,903,102 3,951,551 11,854,654 5,927,327 17,781,982 8,890,991 26,672,974 13,336,487 40,009,462 20,004,731 60,014,194 30,007,097 90,021,292 45,010,646 22,505,323 67,515,970

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