λ
Sigma Notebook

2,381,190

2 × 3 × 5 × 7 × 17 × 23 × 29
Abundant Even Composite

2,381,190 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 7 × 17 × 23 × 29 and its 128 divisors sum to 7,464,960.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7 × 17 × 23 × 29
Distinct Prime Factors 7
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 128
Divisor Sum (σ) 7,464,960
Proper Divisor Sum 5,083,770
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2381189 ← → #2381191

Radix Representation

Decimal 2381190
Binary 1001000101010110000110 (22 bits)
Octal 0o11052606
Hexadecimal 0x245586

Divisor Catalog (60 of 128)

1 2 3 5 6 7 10 14 15 17 21 23 29 30 34 35 42 46 51 58 69 70 85 87 102 105 115 119 138 145 161 170 174 203 210 230 238 255 290 322 345 357 391 406 435 483 493 510 595 609 667 690 714 782 805 870 966 986 1,015 1,173

Collatz Trajectory (148 steps to reach 1)

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

2,381,190 1,190,595 3,571,786 1,785,893 5,357,680 2,678,840 1,339,420 669,710 334,855 1,004,566 502,283 1,506,850 753,425 2,260,276 1,130,138 565,069 1,695,208 847,604 423,802 211,901 635,704 317,852 158,926 79,463 238,390 119,195 357,586 178,793 536,380 268,190 134,095 402,286 201,143 603,430 301,715 905,146 452,573 1,357,720 678,860 339,430 169,715 509,146 254,573 763,720 381,860 190,930 95,465 286,396 143,198 71,599 214,798 107,399 322,198 161,099 483,298 241,649 724,948 362,474 181,237 543,712

More profiles

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