λ
Modular Archive

2,709,090

2 × 32 × 5 × 31 × 971
Abundant Even Composite

The decimal integer 2,709,090 is 1010010101011001100010 in binary (22 bits), 12253142 in octal and 295662 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 31 × 971
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 7,278,336
Proper Divisor Sum 4,569,246
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2709079 ← → #2709097

Radix Representation

Decimal 2709090
Binary 1010010101011001100010 (22 bits)
Octal 0o12253142
Hexadecimal 0x295662

Divisor Catalog (48)

1 2 3 5 6 9 10 15 18 30 31 45 62 90 93 155 186 279 310 465 558 930 971 1,395 1,942 2,790 2,913 4,855 5,826 8,739 9,710 14,565 17,478 29,130 30,101 43,695 60,202 87,390 90,303 150,505 180,606 270,909 301,010 451,515 541,818 903,030 1,354,545 2,709,090

Collatz Trajectory (138 steps to reach 1)

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

2,709,090 1,354,545 4,063,636 2,031,818 1,015,909 3,047,728 1,523,864 761,932 380,966 190,483 571,450 285,725 857,176 428,588 214,294 107,147 321,442 160,721 482,164 241,082 120,541 361,624 180,812 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

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