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Atlas › Integer Profiles › Node 5,483,349

5,483,349

33 × 29 × 47 × 149
Deficient Odd Composite

5,483,349 factors as 3^3 × 29 × 47 × 149. Its 32 positive divisors give a proper-divisor sum of 3,156,651, so this integer is deficient. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 3^3 × 29 × 47 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,640,000
Proper Divisor Sum 3,156,651
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5483341 ← → #5483371

Radix Representation

Decimal 5483349
Binary 10100111010101101010101 (23 bits)
Octal 0o24725525
Hexadecimal 0x53AB55

Divisor Catalog (32)

1 3 9 27 29 47 87 141 149 261 423 447 783 1,269 1,341 1,363 4,023 4,089 4,321 7,003 12,267 12,963 21,009 36,801 38,889 63,027 116,667 189,081 203,087 609,261 1,827,783 5,483,349

Collatz Trajectory (108 steps to reach 1)

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

5,483,349 16,450,048 8,225,024 4,112,512 2,056,256 1,028,128 514,064 257,032 128,516 64,258 32,129 96,388 48,194 24,097 72,292 36,146 18,073 54,220 27,110 13,555 40,666 20,333 61,000 30,500 15,250 7,625 22,876 11,438 5,719 17,158 8,579 25,738 12,869 38,608 19,304 9,652 4,826 2,413 7,240 3,620 1,810 905 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582 1,291 3,874 1,937 5,812

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