λ
Sigma Notebook

5,477,073

3 × 72 × 19 × 37 × 53
Deficient Odd Composite

5,477,073 is odd and not a perfect square. Its factorization is 3 × 7^2 × 19 × 37 × 53 and its 48 divisors sum to 9,357,120.

Prime Factor Structure

Factorization String 3 × 7^2 × 19 × 37 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,357,120
Proper Divisor Sum 3,880,047
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5477047 ← → #5477081

Radix Representation

Decimal 5477073
Binary 10100111001001011010001 (23 bits)
Octal 0o24711321
Hexadecimal 0x5392D1

Divisor Catalog (48)

1 3 7 19 21 37 49 53 57 111 133 147 159 259 371 399 703 777 931 1,007 1,113 1,813 1,961 2,109 2,597 2,793 3,021 4,921 5,439 5,883 7,049 7,791 13,727 14,763 21,147 34,447 37,259 41,181 49,343 96,089 103,341 111,777 148,029 260,813 288,267 782,439 1,825,691 5,477,073

Collatz Trajectory (82 steps to reach 1)

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

5,477,073 16,431,220 8,215,610 4,107,805 12,323,416 6,161,708 3,080,854 1,540,427 4,621,282 2,310,641 6,931,924 3,465,962 1,732,981 5,198,944 2,599,472 1,299,736 649,868 324,934 162,467 487,402 243,701 731,104 365,552 182,776 91,388 45,694 22,847 68,542 34,271 102,814 51,407 154,222 77,111 231,334 115,667 347,002 173,501 520,504 260,252 130,126 65,063 195,190 97,595 292,786 146,393 439,180 219,590 109,795 329,386 164,693 494,080 247,040 123,520 61,760 30,880 15,440 7,720 3,860 1,930 965

More profiles

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