λ
Sigma Notebook

5,609,403

32 × 47 × 89 × 149
Deficient Odd Composite

5,609,403 is odd and not a perfect square. Its factorization is 3^2 × 47 × 89 × 149 and its 24 divisors sum to 8,424,000.

Prime Factor Structure

Factorization String 3^2 × 47 × 89 × 149
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,424,000
Proper Divisor Sum 2,814,597
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5609399 ← → #5609407

Radix Representation

Decimal 5609403
Binary 10101011001011110111011 (23 bits)
Octal 0o25313673
Hexadecimal 0x5597BB

Divisor Catalog (24)

1 3 9 47 89 141 149 267 423 447 801 1,341 4,183 7,003 12,549 13,261 21,009 37,647 39,783 63,027 119,349 623,267 1,869,801 5,609,403

Collatz Trajectory (139 steps to reach 1)

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

5,609,403 16,828,210 8,414,105 25,242,316 12,621,158 6,310,579 18,931,738 9,465,869 28,397,608 14,198,804 7,099,402 3,549,701 10,649,104 5,324,552 2,662,276 1,331,138 665,569 1,996,708 998,354 499,177 1,497,532 748,766 374,383 1,123,150 561,575 1,684,726 842,363 2,527,090 1,263,545 3,790,636 1,895,318 947,659 2,842,978 1,421,489 4,264,468 2,132,234 1,066,117 3,198,352 1,599,176 799,588 399,794 199,897 599,692 299,846 149,923 449,770 224,885 674,656 337,328 168,664 84,332 42,166 21,083 63,250 31,625 94,876 47,438 23,719 71,158 35,579

More profiles

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