2,621,010

2 × 3 × 5 × 7² × 1783

2,621,010 is even and not a perfect square. Its factorization is 2 × 3 × 5 × 7^2 × 1783 and its 48 divisors sum to 7,321,536.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^2 × 1783

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,321,536

Proper Divisor Sum 4,700,526

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #2620999 ← → #2621023

Radix Representation

Decimal	2621010
Binary	1001111111111001010010 (22 bits)
Octal	0o11777122
Hexadecimal	0x27FE52

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1,470 1,783 3,566 5,349 8,915 10,698 12,481 17,830 24,962 26,745 37,443 53,490 62,405 74,886 87,367 124,810 174,734 187,215 262,101 374,430 436,835 524,202 873,670 1,310,505 2,621,010

Collatz Trajectory (68 steps to reach 1)

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

2,621,010 1,310,505 3,931,516 1,965,758 982,879 2,948,638 1,474,319 4,422,958 2,211,479 6,634,438 3,317,219 9,951,658 4,975,829 14,927,488 7,463,744 3,731,872 1,865,936 932,968 466,484 233,242 116,621 349,864 174,932 87,466 43,733 131,200 65,600 32,800 16,400 8,200 4,100 2,050 1,025 3,076 1,538 769 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80

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