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Atlas › Integer Profiles › Node 57,734,150

57,734,150

2 × 52 × 41 × 28163
Deficient Even Composite

57,734,150 factors as 2 × 5^2 × 41 × 28163. Its 24 positive divisors give a proper-divisor sum of 52,274,434, so this integer is deficient. The Collatz stopping time is 145 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 41 × 28163
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 110,008,584
Proper Divisor Sum 52,274,434
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #57734093 ← → #57734153

Radix Representation

Decimal 57734150
Binary 11011100001111010000000110 (26 bits)
Octal 0o334172006
Hexadecimal 0x370F406

Divisor Catalog (24)

1 2 5 10 25 41 50 82 205 410 1,025 2,050 28,163 56,326 140,815 281,630 704,075 1,154,683 1,408,150 2,309,366 5,773,415 11,546,830 28,867,075 57,734,150

Collatz Trajectory (145 steps to reach 1)

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

57,734,150 28,867,075 86,601,226 43,300,613 129,901,840 64,950,920 32,475,460 16,237,730 8,118,865 24,356,596 12,178,298 6,089,149 18,267,448 9,133,724 4,566,862 2,283,431 6,850,294 3,425,147 10,275,442 5,137,721 15,413,164 7,706,582 3,853,291 11,559,874 5,779,937 17,339,812 8,669,906 4,334,953 13,004,860 6,502,430 3,251,215 9,753,646 4,876,823 14,630,470 7,315,235 21,945,706 10,972,853 32,918,560 16,459,280 8,229,640 4,114,820 2,057,410 1,028,705 3,086,116 1,543,058 771,529 2,314,588 1,157,294 578,647 1,735,942 867,971 2,603,914 1,301,957 3,905,872 1,952,936 976,468 488,234 244,117 732,352 366,176

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