λ
Prime Ledger

3,047,733

33 × 13 × 19 × 457
Deficient Odd Composite

3,047,733 has the prime decomposition 3^3 × 13 × 19 × 457. Its 4 distinct prime factors produce 32 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 13 × 19 × 457
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,129,600
Proper Divisor Sum 2,081,867
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3047731 ← → #3047767

Radix Representation

Decimal 3047733
Binary 1011101000000100110101 (22 bits)
Octal 0o13500465
Hexadecimal 0x2E8135

Divisor Catalog (32)

1 3 9 13 19 27 39 57 117 171 247 351 457 513 741 1,371 2,223 4,113 5,941 6,669 8,683 12,339 17,823 26,049 53,469 78,147 112,879 160,407 234,441 338,637 1,015,911 3,047,733

Collatz Trajectory (133 steps to reach 1)

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

3,047,733 9,143,200 4,571,600 2,285,800 1,142,900 571,450 285,725 857,176 428,588 214,294 107,147 321,442 160,721 482,164 241,082 120,541 361,624 180,812 90,406 45,203 135,610 67,805 203,416 101,708 50,854 25,427 76,282 38,141 114,424 57,212 28,606 14,303 42,910 21,455 64,366 32,183 96,550 48,275 144,826 72,413 217,240 108,620 54,310 27,155 81,466 40,733 122,200 61,100 30,550 15,275 45,826 22,913 68,740 34,370 17,185 51,556 25,778 12,889 38,668 19,334

More profiles

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