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5,339,564

22 × 172 × 31 × 149
Deficient Even Composite

5,339,564 factors as 2^2 × 17^2 × 31 × 149. Its 36 positive divisors give a proper-divisor sum of 4,975,636, so this integer is deficient. The Collatz stopping time is 263 steps.

Prime Factor Structure

Factorization String 2^2 × 17^2 × 31 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 10,315,200
Proper Divisor Sum 4,975,636
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #5339563 ← → #5339569

Radix Representation

Decimal 5339564
Binary 10100010111100110101100 (23 bits)
Octal 0o24274654
Hexadecimal 0x5179AC

Divisor Catalog (36)

1 2 4 17 31 34 62 68 124 149 289 298 527 578 596 1,054 1,156 2,108 2,533 4,619 5,066 8,959 9,238 10,132 17,918 18,476 35,836 43,061 78,523 86,122 157,046 172,244 314,092 1,334,891 2,669,782 5,339,564

Collatz Trajectory (263 steps to reach 1)

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

5,339,564 2,669,782 1,334,891 4,004,674 2,002,337 6,007,012 3,003,506 1,501,753 4,505,260 2,252,630 1,126,315 3,378,946 1,689,473 5,068,420 2,534,210 1,267,105 3,801,316 1,900,658 950,329 2,850,988 1,425,494 712,747 2,138,242 1,069,121 3,207,364 1,603,682 801,841 2,405,524 1,202,762 601,381 1,804,144 902,072 451,036 225,518 112,759 338,278 169,139 507,418 253,709 761,128 380,564 190,282 95,141 285,424 142,712 71,356 35,678 17,839 53,518 26,759 80,278 40,139 120,418 60,209 180,628 90,314 45,157 135,472 67,736 33,868

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